Property of Logs

Product Property: logb(m)+logb(n)=logb(mn)

When adding, switch to multiplying

Quotient Property: logb(m)-logb(n)=logb(m/n)

When subtracting, switch to division

Power Property: nlogb(m)=logb(m^n)

When number is in front of log, make it to the power of m.

When the base is not the same, apply log to both sides to solve.

EX) 5=2.25^x

xlog2.25=log5

x=1.984

EX) 2(8^x)=128

xlog8=64

x=2

*Divide by log2.25 to get x alone.

*Divide by 2 to get 8^x alone. Then add log to both sides to get rid of exponent. finally divide by log8 to get x by itself.