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Solve. Round your answer to the nearest thousandth.

Solve. Round your answer to the nearest thousandth.-example-1

2 Answers

3 votes

Answer: 0.8982

Explanation:

math

User Ads
by
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3 votes

Answer:

x ≈ 0.898

Explanation:

using the rule of logarithms

log
x^(n) = n log x

given


6^(x) = 5 ( take natural logarithm ln of both sides )

ln
6^(x) = ln 5

x ln 6 = ln 5 ( divide both sides by ln 6 )

x =
(ln5)/(ln6) ≈ 0.898 ( to the nearest thousandth )

User Harshit Rathi
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8.4k points