Properties of Logarithmic Functions
log(base7)49=2
Change 49=7^2 into logarithmic form.
log(base5)625=4
Change 625=5^4 into logarithmic form.
3²=9
Change log(base 3)9=2 into exponential form.
4³=64
Change log(base 4)64=3 into exponential form.
ln3+lnx+lny
Expand ln(3xy)
log2+logx+2log y
Expand log(2xy²)
2logx-logy
Expand log(x²/y)
log x - 6log y
Expand, using the properties of logs.
2log x + 2 log y
Expand, using the properties of logs. log(x²)(y²)
4log x + log y
Expand, using the properties of logs. log(x⁴)(y)
4log x - log y
Expand, using the properties of logs. logx⁴/y
log (2x)^(3y)
Write 2log2x+log3y as a single log term.
log64
Write 2log8 as a single log term.
log 32
Write 2log8-log2 as a single log term.
ln(x/y⁴)
Write as a single logarithm.
log (2x)(3y)
Write log2x+log3y as a single log term.
log 2x/3y
Write log2x-log3y as a single log term.
log 16
Write log8+log2 as a single log term.
log 4
Write log8-log2 as a single log term.
log(xy³)
Write logx+3log y as a single log term.
log(x/y)
Write logx-logy as a single log term.
log 128
Write2log8+log2 as a single log term.
