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Change of Form
(Exp. to Log. OR Log. to Exp.)
Expand the Logarithm
Condense the Logarithm
Solve the Logarithmic Equation
Solve the Exponential Equation
100

Log_4 8=2

42 = 8 

100

log_5 z^7

7*log_5 z

100

4*log_2 m

log_2 m^4

100

log_9 3x - log_9 7 = log_9 66

154

100

3^x=17

x=2.5789

200

43=64

log 4 64 = 3

200

log_z 4t^2

log_z 4+2*log_z t

200

Log_2 y +log_2 17

log_2 17y

200

log_6 x - log_6 (x-2) = log_6 19

19/9

200

2*3^m=20

m=2.0959

300

log_b 9=2

b2=9

300

ln(x^2/y^3)

2*lnx-3*lny

300

5*lnx-ln13

ln(x^5/13)

300

log_5 (x-4) + log_5 2 = 3

133/2

300

4^(r+2)=50

r = 0.8219

400

(1/16)^t = 4096

log 1/16 4096 = t

400

log_2((4z)/x^2)

log_2 4+log_2z-2log_2 x

400

4*log_5 x+2*log_5 t - log_5 3

log_5((x^5t^2)/3)

400

log_8 (x+8)+log_8 5 = 2

-4/5

400

6^(4q)=11

q = .3346

500

log_5 625 = z

5z=625

500

log((m^2n^3)/(4t))

2*logm+3*logn-log4-logt

500

3*log_2 x-15*log_2 t+log_5 y

log_2 (x^3/t^15)+log_5y

500

log_4 (x-5) - log_4 x = log_4 57

No Solution

500

2*7^(2q-1)+2=31

q = 1.1871