Express the Following in Terms of Log 2 and Log 3: Log128

Express the following in terms of log 2 and log 3: log12⁸

बेरीज

log12⁸
=log (3 x 2²)⁸
= 8log (3 x 2²)
= 8[log 3 + log2²]
= 8[log 3 + 2log 2].

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Expansion of Expressions with the Help of Laws of Logarithm

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पाठ 7: Logarithms - Exercise 10.2

पाठ 7 Logarithms
Exercise 10.2 | Q 1.6

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

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

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

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

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

Express the following as a single logarithm:

`2 + 1/2 "log" 9 - 2 "log" 5`

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

If log x = p + q and log y = p - q, find the value of log `(10x)/y^2` in terms of p and q.

If x² + y² = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)

Simplify: log b ÷ log b²