Question

Find the value of x in the following..... 3^x = 8​

Answer 1

x ≈ 1.893 ( to 3 dec. places )

Explanation:

Using the rule of logarithms

log
`x^(n)` = n logx

Given

`3^(x)` = 8 ( take the log of both sides )

log
`3^(x)` = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x =
`(log8)/(log3)` ≈ 1.893

Answer 2

Find logarithm of both sides

log (3^x) = log 8

xlog3 = log8

x = log8/log3

x = 1.893