Simplify Rational Expressions
Convert between Exponential and Logs
Find the Inverse
Expand or Compress
Solve For X
100

Add the rational expressions. Simplify if possible.

7y/12+9y/12


4y/3

100

Convert to a Logarithm of form

log_b x=y

2^3=8

log_2 8=3

100

What is the inverse of (2x+3)/4

What is 2x-(3/2)

100

Expand the following Logarithm.

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

3logx+4logy-6logz

100

Solve For X

3^x=81

x=4

200

Multiply and simplify.

3/y^3⋅5y^3

15

200

Convert the following to an exponential equation.

log_2 x=y

x=2y

200

What is the inverse of 3x+1

What is (x-1)/3

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

Subtract the rational expressions. Simplify if possible.

(3−2n)/n(n+2)−(1−3n)/n(n+2)


1/n

300

Convert to a Logarithm of form

log_b x=y

3^0=1

log_3 1=0

300

The inverse of g(x)=(8-5x)/4

What is (4x-8)/5

300

Rewrite the following logarithm

log(a+b)+log(a-b)-2logc

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

300

4^(x+2)=2^6

x=1

400

Divide and simplify.

(4x)/(3x−3)÷(x^2+2x)/(x^2+x−2)


4/3

400

Convert the following to an exponential equation.

log_2 (x+3)=8

2^8=x+3

400

g(x) = 1/2(x-6)

What is 2x+6

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. 

5^x=24

x=1.97

500

Subtract the rational expressions. Simplify if possible.

(c)/(c^2+3c−4)−(1)/(c^2+3c−4)


1/(c+4)

500

Convert to a Logarithm of form

log_b x=y

5^3=x-3

log_5 (x-3)=3

500

f(x) =x2 +4

What is sq rt(x-4)

500

Compress the following logarithm using the power and product rules.

log5+2logx+3log(x^2+5)

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

500

Solve for X.

2^(x+4)=7

-1.19

600

Add the rational expressions. Simplify if possible.

(3)/(x−5)+(2)/(x+5)


5(x+1)/(x+5)(x−5)

600

Convert the following to an exponential equation.

log(x+1)=4

x+1=10^4

600

Are these inverses of each other


No

600

Expand the following logarithm using the power and product rules.

log(x^4y^3z^5)

4logx+3logy+5logz

600

Solve for x.

25=5^(-x+1)

x=-1

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