Question

Solve 8^x – 2 = 3

Answer 1

start with \(8^x=5\)and then recall that \[b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\]

Answer 2

Log8^x =log5
=> x =log5/log8 =log(5-8)

Answer 3

unless of course it is \(8^{x-2}=3\) in which case you get
\[x-2=\frac{\ln(3)}{\ln(8)}\] and so
\[x=\frac{\ln(3)}{\ln(8)}+2\]

Answer 4

careful careful here @sachinrajsharma
it is not true that \(\frac{\log(a)}{\log(b)}=\log(a-b)\)

Answer 5

is it 2.52?

Answer 6

depends on the problem

Answer 7

its the second one you wrote out

Answer 8

is it
\[8^{x-2}=3\] or is it
\[8^x-2=3\]?

Answer 9

the first one

Answer 10

ok so \[8^{x-2}=3\] right?
yea, 2.528...

Answer 11

if you are going to round, use 2.53