log5 x = 3 logx 64 = 3

Aim #29: How do we solve logarithmic equations?
HW Packet Due Thursday 11/17
Test (Aims 22-31) Wednesday 11/23
Do Now:
Rewrite the following expressions in exponential form.
log5x = 3
logx64 = 3
Solve these equations involving a single log on either
side of an equation. Express answer as an exact value.
Solve these equations involving logs on both
side of an equation. Express answer as an exact value.
Solve these equations involving multiple logs on the same
side of an equation. Express answer as an exact value.
Combine the logs on either side first, then place into exponential form.
log2x + log23 = 1
Remember to check your solutions. We can only take the log of a positive value!
log(x+1)+log(x­5)=3log(x) ­ log(x)