If log b5=0.2, then what does b=?

Question

If log b5=0.2, then what does b=?

Please help

Answer 1

The answer depends on what you were trying to write. Did you mean:

Log_b 5 = 0.2? If so, this is easy. Solve most logarithms by converting to exponential form:

b^0.2 = 5

You can rewrite this as:

b^1/5 = 5

...and solve by raising both sides to the 5th power:

(b^1/5) ⁵ = 5⁵

b    = 3,125