Question

If b > 0, how can we write a number a as a logarithm in base b?

Answer 1

\(a = \log_b b^a\)

Answer 2

if thats what u looking for

Answer 3

okay, but why?

Answer 4

you familiar with inverse functions ?

Answer 5

yes

Answer 6

exponent and log are inverses of each other

Answer 7

u send 'a' to exponent
u take log of above result

u get ur 'a' back

Answer 8

\(f(x) = b^x\)

\(g(x) = \log x\)

if g is the inverse of f, g(f(x)) = x

Answer 9

g(f(a)) = a

Answer 10

g(b^a) = a

Answer 11

okay, thank you

Answer 12

log_b b^a = a

wlcme :)