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Conversion of Numbers Using Logarithms

If log10 a = ...

Question

If $l o g_{10} a = b$ , find $10^{3 b - 2}$ in terms of a.

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{log}_{10} x = a, {log}_{10} y = b

{log}_{10} P = 2 a - b

P

x

y

i f \frac{1}{3} \log_{10} \sqrt{a} - \frac{1}{2} \log_{10} \sqrt[3]{b} - \frac{1}{6} = 0

, find a in the terms of b .

Q. Given log₁₀a = b, express 10^2b-3 in terms of a.

{log}_{10} x = a, {log}_{10} y = b

10^{a - 1}

x

Q. Given log₁₀ a = m and log₁₀ b = n, express a³/b² in terms of m and n.

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