R \: log \: d + x \: log \: qCondense the logarithm

Question

`r \: log \: d + x \: log \: q`Condense the logarithm

Answer 1

`\log (d^rq^x)`

Step-by-step explanation

First we apply the rule for the logarithm of a power for each term:

`\log (a^b)=b\log (a)`

For this problem:

`r\log (d)+x\log (q)=\log (d^r)+\log (q^x)`

And then, the logarithm of a product rule:

`\log (a\cdot b)=\log (a)+\log (b)`

In this problem:

`\log (d^r)+\log (q^x)=\log (d^rq^x)`