Question

The base when 4 is the logarithm of 144 is....
please give easy step​

Answer 1

The answer is
`2√(3)`.

If logarithmic expressions are given in the form below, we can write them by converting them to;

• 
  `log_(a)(b)=y`
• 
  `b=a^y`

Now let's write the question. We don't know the base, so let's assign a variable.

• 
  `log_(x)(144)=4`
• 
  `144=x^4`
• 
  `√(144)=√(x^4)`
• 
  `12=x^2`
• 
  `√(12)=√(x^2)`
• 
  `2√(3)=x`