What's the solution to this exponential system of equation?

78 Views Asked by At

What are the steps to solving a system of equations when $x$ and $y$ are exponents? But they have different base. Here is the problem.

$5^x\times3^y=45$

$3^x\times5^y=75$

1

There are 1 best solutions below

5
On BEST ANSWER

Take log.

$$x\log5+y\log3=\log45$$

$$x\log3+y\log5=\log75$$