CPM Homework Help : A2C Problem 9-158

Solve each equation. Homework Help ✎
1. log₃(2x − 1) = −2
2. 5^log₅ (x) = 3
3. log₂(x) − log₂(3) = 4
4. log₃(5) = x

$x=\frac{5}{9}$

Step 1(a):

Convert the equation into exponential form.
3⁻² = 2x − 1

Step 2(a):

Now solve for x.

Answer (a):

Hint (b):

Remember the rule b ^log_b(N) = N

Answer (b):

x = 3

Hint (c):

Remember the rule that log(N)−log(M) = log(N/M).

Hint (d):

3^x = 5