Question

simplify the expression shown in the pic can I get a step by step

Answer 1

just you need to know and use the rules of logarithms like

alog x = log x^a

log a - log b = log a/b

log a +log b = log a*b

so and thet's all what you need to know and use to get the right answer

good luck hope these will help you sure

Answer 2

@ganeshie8

Answer 3

\[3\log(x+4) = \log(x+4)^3\]
\[2\log(x-7)=\log(x-7)^2\]
you know the rest.
\[\log(x+4)^3 \times \log(x-7)^2 = \log [(x+4)^3(x-7)^2]\]
\[\log(x+4)^3 \div \log(x-2)^5 = \log [(x+4)^3 \div (x-2)^5]\]