Question

7^7n+7=2401

Answer 1

do i divide the 7 away first

Answer 2

What are you looking for here

Answer 3

is the eqn like this?
\[7^{7n+1} = 2401\]

Answer 4

yes

Answer 5

ok then you need to deal with the 7n+1 first do you know about logs?

Answer 6

then convert RHS into exponential form and compare the powers of LHS and RHS

Answer 7

i dnt remember hw to do tht

Answer 8

no need of logs dear, 2401 is 7^ 4. just compare the powers

Answer 9

n=3/7

Answer 10

ah soz I missed that

Answer 11

O so i find the square root type thing

Answer 12

common factor

Answer 13

ok, if you didn't see the power thing then this always works
\[7^{7n+1} = 2401\]\[\ln(7)\times7n+1 = \ln(2401)\]\[7n+1 = \ln(2401)/\ln(7)\]\[7n = (\ln(2410/\ln(7))-1\]\[n = ((\ln(2410/\ln(7))-1)/7\]\[n=3/7\]

Answer 14

now comparing powers is easier ill show you that as well

Answer 15

\[7^{7n+1} =7^4\] so \[7n+1 = 4\]\[7n =3\] and \[n=3/7\] sorry I missed that first time but if you do then you need the other option.

Answer 16

do you see?