If Log 2 = 0.3010, Log 3 = 0.4771 and Log 5 = 0.6990, Find the Values Of: Log18

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log18

Sum

log18
= log (2 x 3²)
= log 2 + log 3²
= log 2 + 2 log 3
= 0.3010 + (2 x 0.4771)
= 1.2552.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 19.1

Given 3log x + `1/2`log y = 2, express y in term of x.

If log (a + b) = log a + log b, find a in terms of b.

Prove that:

log₁₀ 125 = 3(1 - log₁₀2).

Express the following in terms of log 2 and log 3: log 216

Express the following in terms of log 2 and log 3: `"log" root(4)(648)`

Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50

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If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2

Simplify: log b ÷ log b²