4 years ago

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

Mathematics

2 answers:

elena-14-01-66 [18.8K]4 years ago

7 0

Find logarithm of both sides

log (3^x) = log 8

xlog3 = log8

x = log8/log3

x = 1.893

GrogVix [38]4 years ago

7 0

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

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

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