Question

PLEASE HELP!!
100 POINTS
5^a = 2^b = 10, what is a^-1 +b^-1

Answer 1

1.

Explanation:

5^a = 10

a log 5 = log 10

a log 5 = 1

a = 1 /log 5

a^-1 = log 5

In the same way:

b = 1 / log 2

b^-1 = log 2,

So a^1 + b^-1 = log5 + log 2 = log (2*5)

= log 10

= 1.