# Thread: Express the given quantity as a single logarithm.

1. ## Express the given quantity as a single logarithm.

Express the given quantity as a single logarithm.
ln(8) + 4 ln(3)

I did
ln(8)+ln(3)^4
= ln(24^4)

and it's wrong. can someone help me? it's urgent!!! thank u!!!

2. Originally Posted by greenbee
Express the given quantity as a single logarithm.
ln(8) + 4 ln(3)

I did
ln(8)+ln(3)^4
= ln(24^4)

and it's wrong. can someone help me? it's urgent!!! thank u!!!
Hi greenbee,

You made a common mistake by multiplying a number without an exponent times a number with one.

$8 \times 3^4 \neq 24^4$

Here's the breakdown.

$\ln 8 + 4 \ln 3=\ln 8 + \ln 3^4 = \ln 8 + \ln 81 = \ln 648$