Question

How do you solve `16^v=67`?

Answer 1

`v ~~ 1.516522`

Explanation:

An important equivalence you need to remember:
`color(white)("XXX")color(red)(log_b a = c)` is equivalent to `color(red)(b^c=a)`

`color(blue)(16^v = 67)` means `color(blue)(log_16 67 = v)`

You should be able to use a calculator or spreadsheet to evaluate:
`color(white)("XXX")color(blue)(v=log_16 67 ~~1.516522)`