Question

solve: \\(\log_{2}(3x + 8) = 5\\)
which is an equivalent equation?
\\(2^{5} = 3x + 8\\)
\\(5^{2} = 3x + 8\\)
\\(2^{5} = \log_{2}(3x + 8)^{2}\\)
\\(5^{2} = \log_{2}(3x + 8)^{5}\\)

\\(x = 8\\)

solve: \\(\log_{x}64 = 3\\)
which is an equivalent equation?
\\(3^{x} = 64\\)
\\(x^{3} = 64\\)
\\(64^{x} = 3\\)
\\(x^{3} = 64^{3}\\)

\\(x = \\)

Explanation:

Convert logarithmic equations to exponential form

Using the Logarithmic and Exponential Inverses knowledge point

$$
LATEXBLOCK0
$$

Solve the first equation for x

Using the Solving Logarithmic Equations knowledge point

$$
LATEXBLOCK1
$$

Solve the second equation for x

Using the Solving Logarithmic Equations knowledge point

$$
LATEXBLOCK2
$$

Answer:

No.	Problem	Answer
1	Value of \(x\)	\(x = 8\)
2	Equivalent equation for \(\log_x 64 = 3\)	\(x^3 = 64\)
2	Value of \(x\)	\(x = 4\)