In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
50^x = 17
Step 02:
exponential equation:
1. Apply logarithms to both sides of the equality.
[tex]log\text{ 50}^x=\text{ log 17}[/tex]2. Apply properties of logarithms.
[tex]x\text{ log 50 = log 17}[/tex]3. Apply the algebraic rules to find the value of x.
[tex]x\text{ = }\frac{log\text{ 17}}{log\text{ 50}}\text{ }[/tex]The answer is:
x = (log 17) / (log 50)
