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.

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

Evaluate 4^5x x 2^(3x)2 = 256

Answers

4^5x x 2^(3x)2 = 256

2^2(5x) x 2^6x = 2⁸

Multiplication means add the powers

10x + 6x = 8

16x = 8;

x = $\frac{8}{16}$ = $\frac{1}{2}$

johnmulu answered the question on June 12, 2017 at 07:53

Answer Attachments

Next: What are the factors determining the distribution of forests in Kenya?

Previous: What are the economic uses of mangrove forests?

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Solve for x in 4^x+1 = 32. (Solved)

Solve for x in 4^x+1 = 32.

Date posted: June 12, 2017 . Answers (1)
On a map with scale 1: 50 000 a square piece of land of actual area 0.64 hectares has a length of x cm on the map. Find x. (Solved)

On a map with scale 1: 50 000 a square piece of land of actual area 0.64 hectares has a length of x cm on the map. Find x.

Date posted: June 12, 2017 . Answers (1)
A map has a scale of 1: 40 000 (a) Calculate the distance in metres between two points on the ground if the distance shown on the map is the map 3.25 cm (Solved)

A map has a scale of 1: 40 000
(a) Calculate the distance in metres between two points on the ground if the distance shown on the map is the map 3.25 cm
(b) Calculate the area on the map of woodland which occupies 36 metres by 36 metres on the ground.

Date posted: June 12, 2017 . Answers (1)
On a map drawn to scale of 1: 350 000 the approximate area of an island is 7 cm². Find correct to 3 s.f the area of the island in square kilometres. (Solved)

On a map drawn to scale of 1: 350 000 the approximate area of an island is 7cm². Find correct to 3 s.f the area of the island in square kilometres.

Date posted: June 12, 2017 . Answers (1)
The scale of a map is 1:20, 000. A tunnel measures 0.48 cm on the map. Calculate the actual length in metres of the tunnel. (Solved)

The scale of a map is 1:20, 000. A tunnel measures 0.48 cm on the map. Calculate the actual length in metres of the tunnel.

Date posted: June 12, 2017 . Answers (1)
The exterior angle of a regular polygon is two seventh of the interior angle. Find the number of sides of this polygon. (Solved)

The exterior angle of a regular polygon is two seventh of the interior angle. Find the number of sides of this polygon.

Date posted: June 12, 2017 . Answers (1)
A regular polygon is such that its interior angle exceeds three times the exterior angle by 20^o. Find (Solved)

A regular polygon is such that its interior angle exceeds three times the exterior angle by 20^o. Find the number of sides the polygon has.

Date posted: June 12, 2017 . Answers (1)
The ratio of the interior angle to the exterior angle of a regular polygon is 23:2. Find the number of sides the polygon has. (Solved)

The ratio of the interior angle to the exterior angle of a regular polygon is 23:2. Find the number of sides the polygon has.

Date posted: June 12, 2017 . Answers (1)
Each interior angle of a regular polygon is 120^o larger than the exterior angle. Determine the number of sides the polygon has. (Solved)

Each interior angle of a regular polygon is 120^o larger than the exterior angle. Determine the number of sides the polygon has.

Date posted: June 12, 2017 . Answers (1)
The size of each interior angle of a regular polygon is 5 times the size of the exterior angle. Find the number of sides of the polygon. (Solved)

The size of each interior angle of a regular polygon is 5 times the size of the exterior angle. Find the number of sides of the polygon.

Date posted: June 10, 2017 . Answers (1)
If each interior angle of a regular polygon is x^o and each exterior angle is (Solved)

If each interior angle of a regular polygon is $x^o$and each exterior angle is
$\frac{x - 36}{3}$
Calculate the sum of the interior angles in the polygon.

Date posted: June 10, 2017 . Answers (1)
A regular polygon has its interior angle as 156^o. Find the number of sides that the polygon has. (Solved)

A regular polygon has its interior angle as 156^o. Find the number of sides that the polygon has.

Date posted: June 10, 2017 . Answers (1)
Two of the interior angles of a pentagon are 100^o and 140^o. Find the remaining angles if they are all equal. (Solved)

Two of the interior angles of a pentagon are 100^o and 140^o. Find the remaining angles if they are all equal.

Date posted: June 9, 2017 . Answers (1)
The figure below shows part of a regular polygon not drawn to scale. (Solved)

The figure below shows part of a regular polygon not drawn to scale.

Determine the number of sides the polygon has.

Date posted: June 9, 2017 . Answers (1)
Find the sum of interior angles of a regular polygon with 18 sides. (Solved)

Find the sum of interior angles of a regular polygon with 18 sides.

Date posted: June 9, 2017 . Answers (1)
The angles of a quadrilateral are 3x^o, 2x^o, (x+54)^o and 2(x-7)^o. Find the smallest angle of the polygon. (Solved)

The angles of a quadrilateral are 3x^o, 2x^o, (x+54)^o and 2(x-7)^o. Find the smallest angle of the polygon.

Date posted: June 9, 2017 . Answers (1)
In the figure below AB is parallel to DE, angle ABD = 30^o and angle DCE = 70^o. Giving reasons, find angle: (Solved)

In the figure below AB is parallel to DE, angle ABD = 30^o and angle DCE = 70^o. Giving reasons, find angle:
(i) CDE
(ii) CEF.

Date posted: June 9, 2017 . Answers (1)
In the figure below, ABCD is a cyclic quadrilateral and BD is diagonal. EADF is straight line, CDF = 68^o, BDC = 45^o and BAE = 98^o (Solved)

In the figure below, ABCD is a cyclic quadrilateral and BD is diagonal. EADF is straight line, CDF = 68^o, BDC = 45^o and BAE = 98^o

Calculate the size of
(a) CBD (b) ABD

Date posted: June 9, 2017 . Answers (1)
In the figure below, AB is parallel to DE. DE bisectors angle BDG and DCF = 60^o and CFG = 110^o. (Solved)

In the figure below, AB is parallel to DE. DE bisectors angle BDG and DCF = 60^o and CFG = 110^o.
Find (a) CDF (b) ABD
Give reasons for your answer.

Date posted: June 9, 2017 . Answers (1)
In the figure below, O is the centre of the circle and OAC = 38^o. Find (Solved)

In the figure below, O is the centre of the circle and OAC = 38^o. Find

Date posted: June 9, 2017 . Answers (1)