Question

Solve for x:
logₓ 125 = 3/2

Answer 1

x = 25

using the law of logarithms

•
`log_(b)` x = n ⇔ x =
`b^(n)`, hence

125 =
`x^(3/2)`

x =
`\sqrt[3]{125^2}` =
`\sqrt[3]{15625}` = 25