Question

What is the first step in establishing that log(107⋅5)=7+log5
?(1 point)

The first step is to rewrite the expression using multiplication, such that log(107⋅5)=log107⋅log5
.

The first step is to rewrite the expression using addition, such that log(107⋅5)=log107+log5
.

The first step is to make 5 an exponent, such that log(107⋅5)=log(107⋅5)
.

The first step is to move the exponent in front of the logarithm, such that log(107⋅5)=7log(10⋅5)
.

Answer 1

The second option. Use the product rule log(ab) = log a + log b, so log(10^7⋅5) = log(10^7) + log 5.