Question Type 6: Using logₐ(a) = 1 and logₐ(1) = 0 Bootcamps

Evaluate $\log_9(1) + 5$.

Rewrite $1 + \log_b(a)$ as a single logarithm.

Simplify $3 + \log_6(1)$.

Simplify $\log_7(7) - \log_7(49)$.

Express $2 + \log_3(7)$ as a single logarithm.

Simplify $3 + \log_2(5)$ as a single logarithm.

Write $4 + \log_{10}(k)$ as a single base-10 logarithm.

Express $\log_5(3) + 2$ as a single logarithm.

Simplify $-1 + \log_2(8)$.

Simplify $5 - \log_4(2)$ as a single logarithm.

Simplify $\log_2(2) + \log_2(8)$ as a single logarithm and evaluate it.

Write $3 - \log_7(2)$ as a single logarithm.