Simplifying Logs

Basic Property of Logs

100

Solve for x:

Log₇7=x

x=1

200

Solve for x:

Log₁₃1=x

x=0

300

Solve for x:

Log₉9^3/4=x

x=3/4

400

Solve for x:

14^^(log₁₄⁴⁾=x

x=4

Condensing Logs

100

Solve for x:

log₈6+log₈4/3=x

x=1

200

Condense the equation:

log₃2-log₇2+log₃7

log₃14-log₇2

300

Condense the equation:

ln4+lnx-2lny-lnz

ln(4x/y²z)

400

Condense the equation:

log₆z+(1/2)log₆x

log₆(z√x)

Expanding Logs

100

Expand the equation:

ln(zy/4)

lnz+lny-ln4

200

Expand the equation:

log(x/yz²)

logx-logy-2logz

300

Expand the equation:

ln(3∛a)

ln3+(1/3)lna

400

Expand the equation:

log∛(z⁴/a)

(4/3)logz-(1/3)loga