Question

no. 13 please solve anyone

Answer 1

Hi .......dear.


here is your answer...
27....
#shubhendu

Answer 2

Hello!
Let's begin solving.
4^(x+3) = 112 + 8 x 4^x

Rewriting everything in powers of 2, where possible

2^(2x + 6) = 112 + 2^3 x 2^2x

2^(2x + 6) = 112 + 2^(2x +3)

2^(2x +6) - 2^(2x + 3) = 112

Taking 2^(2x +3) common,

2^(2x +3) [ 2^3 - 1 ] = 112

2^(2x + 3) = 112/7

2^(2x + 3) = 16

Comparing powers, we obtain,

2x + 3 = 4

Hence, x = 1/2

And further, (18x)^3x = (18/2)^3/2 = (9)^3/2 = 27 gives the answer to your question.

Hope it helps.