Solve. Round your answer to the nearest thousandth.

Question

asked Jun 2, 2024 70.9k views

2 Answers

Harshit Rathi · Answer 1 · 2024-06-06T22:14:03+0000

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 )