Solving Logs and Exponents
Change Base Formula
100

log100,000

5

100

log(base 4)(x)=7

4^7=x

200

log10+log100

3

200

log(base x)(71)=301

x^301=71

300

$12,000 is invested into a company that earns a 3.2% interest compounded continuously. How many years will it take to get to $18,000.

12.67 years

300

10^1=x

log(x)=1

400

3log(2x-1)=10

x=1077

400

P^x=y

log(base P)(y)=x

500

f(x)=ln(2x-3)+1

x= 1/2e + 3/2

500

log(base 12)(x)=1/60

12^1/60=x