Question

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

Answer 1

Find logarithm of both sides

log (3^x) = log 8

xlog3 = log8

x = log8/log3

x = 1.893

Answer 2

Answer:

x ≈ 1.893 ( to 3 dec. places )

Step-by-step 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 = $\frac{log8}{log3}$ ≈ 1.893