Question

Find the value of a, if log3 (1\243)=
-a​

Answer 1

Answer:

The value of a is 5

Explanation:

To answer this question, we need to highlight the law of logarithm that is in line with the given question.

Given:

㏒ₓ a = n

Then xⁿ = a

Rewriting the question we have:

㏒₃ 243⁻¹ = - a

Lets write 243 in power form. we have:

243 = 3⁵

So, ㏒₃3⁻⁵ = - a

From the logarithmic law given above, we have that:

$3^{-a}$ = 3⁻⁵

Since they have the same base:

-a = -5

a = 5

The value of a = 5

Answer 2

The value of a is 5

Explanation:

Given data:

㏒₃ 243⁻¹ = - a

as we know

㏒ₓ a = n

Then xⁿ = a

S, ㏒₃3⁻⁵ = - a

3^-a = 3⁻⁵

Since they have the same base:

-a = -5

a = 5