Rules of Logs

Front

Condense the following logarithm: lnx + ln4

Back

ln 4x

Front

Expand ln(4xy)

Back

ln4 + lnx + lny

Front

Expand 6log8v - 2log8u

Back

6log8u - 2log8v

Front

Rewrite in exponential form: 2 = log9x

Back

9^2 = x

Front

Condense the following logarithm: loga + logb

Back

log(ab)

Front

Condense the following logarithm: loga - logb

Back

log(a/b)

Front

Expand log(x^n)

Back

n log x

Front

Expand log(a^m * b^n)

Back

m log a + n log b

Front

Rewrite in exponential form: logbx = y

Back

b^y = x

Front

Condense the following logarithm: 3logx + 2logy

Back

log(x^3 * y^2)