Question

Solve 8^x – 2 = 3

Answer 1

is the question

\[8^x - 2 = 3\]

Answer 2

or

\[8^{x -2} = 3\]

Answer 3

yes

Answer 4

the first one

Answer 5

if the question is \[8^x -2 = 3\]

then

\[8^x = 5\]

take the log of both sides it doesn't matter if its base e or base 10 logs the answer will be the same.

\[\ln(8^x) = \ln(5)\]

\[xln(8) = \ln(5)\]

\[x = \ln(5)/\ln(8)\]

for

\[8^{x -2} = 3\]


take the log of both sides

\[\ln(8^{x-2}) = \ln(3)\]

\[(x -2)\ln(8) = \ln(3)\]

\[(x -2) = \ln(3)/\ln(8) \]

x =2 + ln(3)/ln(8)
take the log of both sides