Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log₆ [4(x + 1)] = log₆ (4) + log₆ (x + 1)

Use the various properties of exponential and logarithmic functions to evaluate the expressions in parts (a)–(c). Given ƒ(x) = log₂ x, find ƒ(2⁷)

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. $\log_6 \left( \frac{x - 1}{x^2 + 4} \right) = \log_6 (x - 1) - \log_6 (x^2 + 4)$

Work each problem. Which of the following is equivalent to 2 ln(3x) for x > 0?

A. ln 9 + ln x

B. ln 6x

C. ln 6 + ln x

D. ln 9x²

Work each problem. Which of the following is equivalent to ln(4x) - ln(2x) for x > 0? A. 2 ln x B. ln 2x C. (ln 4x)/(ln 2x) D. ln 2

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement. log₃ (7) = 1/[log₇ (3)]

Use properties of logarithms to rewrite each function, then graph. ƒ(x) = log₂ [4 (x-3) ]

Use properties of logarithms to rewrite each function, then graph. ƒ(x) = log₃ [9 (x+2) ]