Question

${4}^{x} = {2}^{8}$
​

Answer 1

Answer:

We know that we can write

${4}^{x}\: as \: [{2}^{2}]^{x} = {2}^{2x}$

We are writing this as above because right hand side of the expression in given in the power of 2.

Now after that we can compare powers very easily .

____________________________

Solution;

${4}^{x} = {2}^{8} \\ \implies { ({2}^{2} )}^{ x} = {2}^{8} \\ \implies {2}^{2x} = {2}^{8} \\ \implies 2x = 8 \\ \implies \red{\boxed{\boxed{x = 4}}}$

Answer 2

Answer:

4^x = 2^8

2^8=256

256= 4^x

by prime factorisation of 256, we get:

256=4×4×4×4

256= 4^4

hence x = 4

4^4 = 2^8

hope it helps ♥

please mark brainliest ♥