Question

Which exponential equation is equivalent to this logarithmic equation?log_(x)5+log_(x)12=7A. 7^x=17B. 7^x=60C. x^7=60D. x^7=17

Answer 1

We are given the following equation:

`\log _x5+\log _x12=7`

we will use the following property of logarithms:

`\log _ab+\log _ac=\log _a(bc)`

Applying the property:

`\log _x(5*12)=7`

Now we will use the following property:

`\log _ab=c\rightarrow b=a^c`

Applying the property:

`5*12=x^7`

Solving the operation:

`60=x^7`

And thus we get the exponential equivalent of the equation.