$2^x = 5$

$5^2 = x$

$2^5 = x$

$x^5 = 2$

$\log_b(xy) = \log_b(x) \cdot \log_b(y)$

$\log_b(xy) = \log_b(x) - \log_b(y)$

$\log_b(xy) = \log_b(x) + \log_b(y)$

False

True

$x = 5$

$x = 11$

$x = 24$

$x = 8$

Logarithmic functions often generate complex numbers that must be ignored.

Logarithms can only evaluate even numbers.

Converting to exponential form always introduces rounding errors.

Logarithms can only evaluate strictly positive arguments, so some algebraic solutions may be extraneous.

$x = 1$ and $x = 8$

$x = 9$ only

$x = 9$ and $x = -1$

$x = -1$ only

$\log_a(x^4)$

$\log_{a^4}(x)$

$\log_a(4x)$

$x = 1$

$x = 10$

$x = 0$

$x = e$

The distributive property

The change of base formula

The one-to-one property ($M = N$)

False

True