Logarithms - Math Central

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Quandaries & Queries

Given log10 2=0.30 and log10 3=0.47
How to i express 6 x 10power 14 in logarithm answer.
Please help me.

Thank you.
Emi

Hi Emi.

Remember that when you have a logarithm of a product, the value is the same as the sum of the logarithms of the factors. For example,

log₁₀ (2x3) = log₁₀ 2 + log₁₀ 3

log₁₀ (6 x 10¹⁴) = log₁₀ 2 + log₁₀ 3 + log₁₀ (10¹⁴)

Can you solve this now?
Stephen La Rocque.

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