Question

Express the following in Exponential form:
i) $\log_{9} 6561=4$
ii) $\log_{\frac{1}{16}} (\frac{1}{8}) = \frac{3}{4}$

Answer 1

Answer:

i) 6561 = 9⁴

Step-by-step explanation:

Hi,

If y = aˣ, then we define x as logₐy (or)

If x = logₐy , then y = aˣ

Here , a > 0 and a ≠ 1 , a is called the base of the

logarithm.

i) Given log₉6561 = 4

So we can rewrite using the definition of logarithm

6561 = 9⁴

ii) Given log₁/₁₆(1/8) = 3/4

using the definition of logarithm, we can rewrite as

1/8 = (16)³/₄ = 16 ^{3/4}

Hope, it helps !