Question Type 2: Using logarithm laws to simplify algebraic expressions into a single term Exercises

Simplify $\log_2(x^3)-4\log_2(x)$ into a single logarithm.

Simplify $\log_b(a) + \log_b(b^2) - 2\log_b(a^2)$ into a single logarithm.

Simplify $\log_5(25)+3\log_5(2)-\log_5(4)$ into a single logarithm.

Simplify $2\log_7(14)-\log_7(2)$ into a single logarithm.

Simplify $4\log_4(\sqrt{x})-2\log_4(x)$ into a single logarithm.

Simplify $3\log_3(2)-2\log_3(5)$ into a single logarithm.

Simplify $\log_3(x)+\log_3(2)-3\log_3(6)$ into a single logarithm.

Simplify $2\log_2(x+1)-\log_2(4(x+1)^2)$ into a single logarithm.

Simplify $5\log_k(m) + \log_k(n) - 2\log_k(p)$ into a single logarithm.

Simplify $\log_x(y)-4\log_x(2y)$ into a single logarithm.

Simplify the expression $\log_a(x) + 2\log_a(y) - \log_a(z)$ into a single logarithm.