Express the Following in Terms of Log 2 and Log 3: Log 648

Express the following in terms of log 2 and log 3: log 648

Sum

log 648
= log (2³ x 3⁴)
= log 2³+ 3⁴
= 3 log 2 + 4 log 3.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 7: Logarithms - Exercise 10.2

Chapter 7 Logarithms
Exercise 10.2 | Q 1.5

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 12

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log 2.25

If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2

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

Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`

Simplify the following:

`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`

If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 12

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