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kumpel [21]
4 years ago
5

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 )

log3^{x} = log8, that is

xlog3 = log8 ( divide both sides by log3 )

x = \frac{log8}{log3} ≈ 1.893

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