Question

4^2x=8

Answer 1

hint : 8 = 2^3

Answer 2

i know what the answer is i just dont know how to get is ganeshie

Answer 3

it*

Answer 4

if you have:\[a^x=a^y\]what can you say about the relationship between x and y?

Answer 5

x=y

Answer 6

correct - so use the hint given by ganeshie8 to solve this

Answer 7

try and express both sides as the power of the same number

Answer 8

4^2x=8
unsqaure it 2=8

Answer 9

can you express 4 as a power of 2?

Answer 10

yes

Answer 11

use that to end up with 2 to the power of something on both sides of the equals sign

Answer 12

then use the fact that since they are both 2 to the power of something then the powers must be equal

Answer 13

2x = 3/2

Answer 14

yes

Answer 15

x = 3/4

Answer 16

the way I was thinking of was more like:\[4^{2x}=8\]therefore:\[(2^2)^{2x}=2^3\]therefore:\[2^{4x}=2^3\]therefore:\[4x=3\]therefore:\[x=\frac{3}{4}\]

Answer 17

I guess you took square roots and some step above

Answer 18

i like your way better

Answer 19

thx :)