Question

what are the solutions to g(x)=lnx-5
walk through please?

Answer 1

you have just listed the function. Do you mean what are the solutions to \(f(x) =0\)?

Answer 2

I am going to assume this is what you mean.

note \(\ln(x)-5=0\implies \ln(x) = 5 \)

Also note that \[\log_a(b)=c \iff a^c = b\]
Can you figure it out now?

Answer 3

e=5...?

Answer 4

\(\log_a(b)=c \iff a^c = b

\)

\(\log_e(x)=5 \iff ?= x\)

Answer 5

x=5

Answer 6

e^5=x

Answer 7

correct

Answer 8

so...x=148.413 or can I leave it as e^5=x?

Answer 9

I would leave it.

The first way is an approximation.

The second way is the exact answer.

Answer 10

haha, ok thanks(:

Answer 11

Unless you are told otherwise....

Answer 12

np

Answer 13

I think of it like this

\(\log_a(x)=y \iff x = a^y

\)