6. Exponential & Logarithmic Functions

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) ]

Use properties of logarithms to rewrite each function, and describe how the graph of the given function compares to the graph of g(x) = ln x. ƒ(x) = ln(e²x)

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

$\frac{lo{g}_{7}49}{lo{g}_{7}7}=lo{g}_{7}49-lo{g}_{7}7$

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

$lo{g}_b(x^3+y^3)=3lo{g}_{b}x+3lo{g}_{b}y$

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

log_b (xy)⁵ = (log_b x + log_b y)⁵

If log 3 = A and log 7 = B, find log7 (9) in terms of A and B.