Question

Choose the single logarithmic expression that is equivalent to the one shown 5 log x + 3 log x^2

Answer 1

Hey

$5 log(x) + 3 log( {x}^{2} )$

$= log( {x}^{5} ) + log( {x}^{6} )$

$= log( {x}^{5} \times {x }^{6} )$

$= 11 log(x)$

Answer 2

Answer:

$5 log x + 3 log x^{2} = 11 log x$

Step-by-step explanation:

Given the logarithmic  expression

$5 logx + 3 log x^2$

Logarithm rule: when we take log with any number raise to power x

Then the power x move down before the log  and write log with the base of  number

For example : Let we take a number $2^x$

When we take log then power x go down and write before the log and take log with the given base of that number

Therefore we can write as x log 2

Now , we have logarithmic expression

$5logx + 3 log x^2$

= $5 logx + 6 log x$

= $11 logx$

Hence, the logarithmic expression  $5 log x + 3 log x^2$ is equivalent to $11 log x$.