Log to exponent
OR Exponent to log
Condense or Expand
Solve - logs on one side
Solve - logs on both sides
Solve- exponential expressions
100

4^-5 = 1/1024

100

Expand: 

log 2x

log 2 + log x

100

log3 x = 4

x = 81

100

log(7x+1) = log (x+13)

x = 2

100

Solve for x : 

3^x=50

3.561

200

11^4 = 14641

log11 14641 = 4

200

Condense into a single logarithm:  

4 log x + 3 log y

log (x4y3)

200

logx 64 = 3

x = 4

200

log (x+5) = log 10

x = 5

200

Solve for x: 

17^x=1000

2.438

300

logm = 17

c17 = m 

300

Expand: 

log(2x^2)

log 2 + 2 log x

300

log1 = x

x = 0

300

log2 (8 - 6x) = 5

x = -4

300

Solve for x: 

3*4^x=120

2.661

400

log 0.01 = -2

10-2 = 0.01

400

Condense into a single logarithm:

3 log x - 2 log 2

log (x^3 / 4)

400

log3 2x+1 = 4

x = 40

400

log(x)-log(10) = log 360

x = 3600

400

Solve for x: 

5^x-4=241

3.418

500

t = log8

3t = 8

500

Condense into a single logarithm and simplify:

log2 16 - log2 2

log2 8 = 3

500

log3 4x+3 = 5

x = 60

500

log2 (1+x/2) = 4

x = 30

500

A car depreciates in value 30% every year. Initially, the car is worth $42,000. In how many years will the car be worth $20,000?

2.08 years