Question

Solve the equation 4^y = 8​

Answer 1

y = 1.5

Explanation:

`{4}^(y) = 8`

Take the logarithm of both sides and you will get

`\log {4}^(y) = y \log4 = \log8`

or

`y = (\log8)/( \log4) = 1.5`

Answer 2

y =
`(3)/(2)`

Explanation:

4 = 2² and 8 = 2³ , then

`4^(y)` = 8, can be written

`(2^2)^(y)` = 2³

`2^(2y)` = 2³

Since bases on both sides are equal, both 2, then equate exponents

2y = 3 ( divide both sides by 2 )

y =
`(3)/(2)`