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

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:
10^–3 = 0.001

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

Express the following in exponential form : log₁₀1 = 0

State, true or false : If log₁₀ x = a, then 10^x = a.

State, true or false : If x^y = z, then y = log_zx .

Find x, if : log₉243 = x

Find x, if : log₇ (2x² - 1) = 2

Evaluate : log₂ ( 1 ÷ 8 )

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

Solve for x:

log(x - 1) + log (x + 1) = log₂1