Question

home > math& 141 (precalculus i) fall 2025 ls online > assessment
sections 4.3 - 4.4
score: 8/30 answered: 8/30
question 9
find the logarithm.
log₁₀(10,000,000)=
question help: video

Explanation:

Step1: Recall the logarithm definition

If \(y = \log_{a}x\), then \(x=a^{y}\). Here \(a = 10\), \(x = 10000000\). We need to find \(y\) such that \(10^{y}=10000000\).

Step2: Express \(10000000\) as a power of \(10\)

Since \(10000000=10\times10\times10\times10\times10\times10\times10 = 10^{7}\).

Answer:

\(7\)