Question

25 POINTS!!!!!!!!!!!

Express 81 = 3x as a logarithmic equation.

A. log381 = x
B. log3x = 81
C. log813 = x
D. log81x = 3

Answer 1

The answer would be:

A: log381 = x

Hope this helps! Have a good day!

Answer 2

Option A

`\log_3 81 =x`

Explanation:

Use logarithmic rules:

• 
  `\log a^m = m\log a`

• 
  `\log_a b = (\log a)/(\log b)`

Given the equation:

`81 = 3^x`

Taking both side logarithm function:

`\log 81 = x\log 3`

Divide both sides by log 3 we have;

`(\log 81)/(\log 3) = x`

Apply the logarithmic rules:

`\log_3 81 =x`

therefore,
`81 = 3^x` as a logarithmic equation is
`\log_3 81 =x`