Solve the Exponential
Convert To A Logarithm
Convert To An Exponential
Expand or Compress
Solve For X
100

Find x

2^x=16

X=4

100

Convert to a Logarithm of form

log_b x=y

2^3=8

log_2 8=3

100

Convert the following to an exponential equation.

log_2 32=5

2^5=32

100

Expand the following Logarithm.

log((x^3y^4)/z^6)

3logx+4logy-6logz

100

Solve For X

3^x=81

x=4

200

Solve For X

3^(x+2)=27

X=1

200

Convert to a Logarithm of form

log_b x=y

e^3=20.09

ln20.09=3

200

Convert the following to an exponential equation.

ln x=y

x=ey

200

Compress the following logarithm.

log_3 5+5log_3 2

log_3 160

200

Solve for X

2^x=16^4

x=16

300

Solve For X

4^x=1

X=0

300

Convert to a Logarithm of form

log_b x=y

3^0=1

log_3 1=0

300

Convert the following to an exponential equation.

log_8 1=0

80 = 1

300

Rewrite the following logarithm

ln(a+b)+ln(a-b)-2lnc

ln((a^2-b^2)/c^2)

300

4^(x+2)=2^6

x=1

400

Solve For X

5^x=1/25

X = -2

400

Convert to a Logarithm of form

log_b x=y

2^(x+2)=29

log_2 29=x+2

400

Convert the following to an exponential equation.

log_2 (x+3)=8

2^8=x+3

400

Expand the following logarithm using the power and quotient rules.

log((3x^2)/(x+1)^10)

log(3x^2)-10log(x+1)

400

Solve for X.  You DO NOT need to solve for an exact number.

e^x=24

x=ln24

500

Solve for X

2^(2x)=1/4

x=-1

500

Convert to a Logarithm of form

log_b x=y

5^3=x-3

log_5 (x-3)=3

500

Convert the following to an exponential equation.

log_7 4=x-6

7^(x-6)=4

500

Compress the following logarithm using the power and product rules.

ln5+2lnx+3ln(x^2+5)

ln((5x^2)/(x^2+5)^3)

500

Solve for X. Leave your answer using 10 or e as base.

2^(x+4)=7

log7/log2-4

or

ln2/ln7-4

600

Solve for x.

h(x)=2^(x-4)+1

x=log_2(y-1)+4

600

Convert to a logarithmic form

log_b x=y

e^(x+1)=0.5

x+1=ln(0.5)

600

Convert the following to an exponential equation.

ln(x+1)=4

x+1=e^4

600

Expand the following logarithm using the power and product rules.

log(sqrt(xsqrt(ysqrtz)))

1/2logx+1/4logy+1/8logz

600

Solve for x.

25=5^-x+1

x=-log_5(24)

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