Solving and Graphing Logarithms

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Algebra II › Solving and Graphing Logarithms

Questions 1 - 10
1

Solve .

Explanation

First we start by subtracting from each side:

Next, we rewrite the equation in exponent form:

Finally, we divide by :

2

Solve

Explanation

First we rewrite the equation in exponential form:

Now we take the cube root of :

3

Solve .

Explanation

First we start by subtracting from each side:

Next, we rewrite the equation in exponent form:

Finally, we divide by :

4

Solve .

Explanation

When a logarithm equals , the equation in the logarithm equals the logarithms base:

5

Solve .

Explanation

When a logarithm equals , the equation in the logarithm equals the logarithms base:

6

Solve

Explanation

First we rewrite the equation in exponential form:

Now we take the cube root of :

7

Solve .

Explanation

First we subtract from both sides:

Then we divide both sides by :

Now it would help if we wrote the equation in exponential form (remember, if the log doesn't show a base, it's base 10):

Finally, we use algebra to solve:

8

Solve .

Explanation

First we subtract from both sides:

Then we divide both sides by :

Now it would help if we wrote the equation in exponential form (remember, if the log doesn't show a base, it's base 10):

Finally, we use algebra to solve:

9

Solve .

Explanation

First, we subtract from each side:

Next, we divide each side by :

Now we rewrite the equation in exponent form:

And we finish using algebra:

10

Solve .

Explanation

First, we subtract from each side:

Next, we divide each side by :

Now we rewrite the equation in exponent form:

And we finish using algebra:

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