If Loga M = N, Express An-1 in Terms of a and M. - Mathematics

If log_am = n, express a^{n - 1} in terms of a and m.

Sum

log_am = n

⇒ aⁿ = m

⇒ `a^n/a = m/a`

⇒ `a^(n-1)=m/a`

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Interchanging Logarithmic and Exponential Forms

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Chapter 8: Logarithms - Exercise 8 (A) [Page 104]

Chapter 8 Logarithms
Exercise 8 (A) | Q 8 | Page 104

Express the following in logarithmic form:

5³ = 125

Express the following in logarithmic form:
10^–3 = 0.001

Express the following in exponential form : log₈0.125 = -1

Express the following in exponential form :
log₁₀0.01 = - 2

Express the following in exponential form : log₁₀1 = 0

Find the logarithm of : 0.1 to the base 10

Find the logarithm of : 0.001 to the base 10

Find x, if : log_x 2 = - 1.

Evaluate : log_0.5 16

Given log₂x = m. Express 2^{m - 3} in terms of x.