Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Browse exam papers

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

Solve for x in the equation 2 log x + log 5 = 1 + 3 log 2.

Solve for x in the equation
2 log x + log 5 = 1 + 3 log 2.

Answers

sharon kalunda answered the question on August 9, 2019 at 14:49

Answer Attachments

Next: A sales woman earns a monthly wage of ksh. 3000 and gets a commission for the goods she sells. In a certain month she sells...

Previous: Draw the net of the solid below given that is a right pyramid and that AB = 4cm = BC = CD = AD and...

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

A sales woman earns a monthly wage of ksh. 3000 and gets a commission for the goods she sells. In a certain month she sells... (Solved)

A sales woman earns a monthly wage of ksh. 3000 and gets a commission for the goods she sells. In a certain month she sells goods worth ksh. 16,000 and her earning was ksh. 16,000 and her total earning was ksh.4,280.Determine the rate of the commission.

Date posted: August 9, 2019 . Answers (1)
Three towns A, B, and C are situated such that B is 50 km on a bearing of 150⁰ from town B (a) Draw a sketch... (Solved)

Three towns A, B, and C are situated such that B is 50 km on a bearing of 150⁰ from town B
(a) Draw a sketch showing the positions of towns A, B and C.
(b) Calculate;
(i) The size of Angle ABC
(ii)The distance of C and A

Date posted: August 9, 2019 . Answers (1)
The angle of elevation of the top of a tree from a point P is 22.6⁰. From another point Q which is 12m from the... (Solved)

The angle of elevation of the top of a tree from a point P is 22.6⁰. From another point Q which is 12m from the base of the tree, the angle of elevation of the top of the tree is 47.5⁰
(a) The height of the tree
(b) The distance between P and Q

Date posted: August 9, 2019 . Answers (1)
The length of a rectangle is increased by 25% while its width is decreased by 5%. Determine the percentage increase in the area of the... (Solved)

The length of a rectangle is increased by 25% while its width is decreased by 5%. Determine the percentage increase in the area of the rectangle.

Date posted: August 9, 2019 . Answers (1)
A straight line passing through the points P(4,5) also passes through the origin and makes an acute angle theta with the x – axis. Calculate... (Solved)

A straight line passing through the points P(4,5) also passes through the origin and makes an acute angle theta with the x – axis. Calculate to 2 decimal places the sizes of angle theta.

Date posted: August 9, 2019 . Answers (1)
The figure below shows a circle centre O and AOB is a sector of the circle and angle AOB = 72⁰ as shown. Given that the... (Solved)

The figure below shows a circle centre O and AOB is a sector of the circle and angle AOB = 72⁰ as shown. Given that the area of a sector AOB is 5pi cm², find the radius of the circle and hence calculate the area of the shaded part.

Date posted: August 9, 2019 . Answers (1)
Simplify the expression below (Solved)

Simplify the expression below

Date posted: August 9, 2019 . Answers (1)
Evaluate without using mathematical table or calculator. (Solved)

Evaluate without using mathematical table or calculator.

Date posted: August 9, 2019 . Answers (1)
Given the coordinates of P, Q and R as (2, -1), (3, 4) and (6, 2) respectively, (Solved)

Given the coordinates of P, Q and R as (2, -1), (3, 4) and (6, 2) respectively, find the coordinates
of P¹, Q¹ and R¹ the images of P, Q and R under a transformation represented by the matrix

Date posted: August 9, 2019 . Answers (1)
Point T is the midpoint of a straight line AB. Given that the position vectors of A and T are (Solved)

Point T is the midpoint of a straight line AB. Given that the position vectors of A and T are

Date posted: August 9, 2019 . Answers (1)
In the diagram below find the length of EC if BC = 12 cm. (Solved)

a) In the diagram below find the length of EC if BC = 12 cm.

(b) Given that the area of triangle DCE is 27 cm², find the area of ABECD.

Date posted: August 9, 2019 . Answers (1)
If each interior angle of a regular polygon is 150⁰, how many sides does the polygon have? (Solved)

If each interior angle of a regular polygon is 150⁰, how many sides does the polygon have?

Date posted: August 9, 2019 . Answers (1)
In 2007 parliamentary election, only 55% of the voters in a constituency of 85,000 cast their votes. (Solved)

In 2007 parliamentary election, only 55% of the voters in a constituency of 85,000 cast their votes. Of the votes cast, A received 48%, B received 32% and C received the remainder. How many votes did C receive?

Date posted: August 9, 2019 . Answers (1)
A swimming pool is 20m by 12m and it slopes gently from a depth of 1m at the shallow end to a depth of 3m... (Solved)

A swimming pool is 20m by 12m and it slopes gently from a depth of 1m at the shallow end to a depth of 3m at the deep end.
(a) Calculate the volume of water in the swimming pool (in m³) when it is full.
(b) If the swimming pool is to be drained by a pump which removes water at the rate of 2.5m³ per minute, how long will it take this pump to drain the swimming pool if it was full?
(c) If the sides of the swimming pool and its floor are to be covered with square tiles of side 20cm, find to the nearest 100 the number of tiles required.

Date posted: August 9, 2019 . Answers (1)
Solve the simultaneous equations (Solved)

Solve the simultaneous equations

Date posted: August 9, 2019 . Answers (1)
Solve for n in (Solved)

Solve for n in

Date posted: August 9, 2019 . Answers (1)
Two vertical columns A and B of height h and 2h respectively stand on level ground and are 100m apart. Two points P and Q... (Solved)

Two vertical columns A and B of height h and 2h respectively stand on level ground and are 100m apart. Two points P and Q are d metres apart, the elevation of the top of A and B from point P are 35⁰ and 28⁰ respectively and the elevation of top of B from point Q is 75⁰
Calculate
(a) The vertical heights of the two columns in metres
(b) The distance PQ in metres

Date posted: August 9, 2019 . Answers (1)
Solve the following inequalities and represent the solutions on a single number line: (Solved)

Solve the following inequalities and represent the solutions on a single number line:

Date posted: August 9, 2019 . Answers (1)
The figure below shows a plan of a roof with a rectangular base ABCD. AB = 20cm and BC = 12cm. the ridge PQ =... (Solved)

The figure below shows a plan of a roof with a rectangular base ABCD. AB = 20cm and BC = 12cm. the ridge PQ = 8cm and is centrally placed. The faces ADP and BCQ are equilateral triangles. N is the midpoint of AD

Calculate:
(a) The length of PN
(b) The altitude of P above the base.
(c) The angle between the planes ABQP and ABCD.
(d) The obtuse angle between the lines PQ and DB

Date posted: August 9, 2019 . Answers (1)
Simplify the expression (Solved)

Simplify the expression

Date posted: August 9, 2019 . Answers (1)