Question

Solve each logarithmic equation. Round your answer to two decimal places.

log4 16 = x
my attempt:
log4 16 (x+x) = x
--
x
log 4 (x+16) = 1
(x + 16) = 1
x + 16/1 =17
x+ 16 = 17
x= 8/9

Answer 1

Let's see

`\\ \rm\Rrightarrow log_416=x`

`\\ \rm\Rrightarrow 16=4^x`

`\\ \rm\Rrightarrow 4²=4^x`

`\\ \rm\Rrightarrow x=2`

Done!

Answer 2

• x = 2

Explanation:

Given equation

• 
  `log_416=x`

Use the property of logarithm

• 
  `log_ab=c` ⇒
  `b = a^c`

Apply to the given equation

• 
  `16 = 4^x`
• 
  `4^2=4^x`
• 
  `2 = x`
• 
  `x=2`