$\large\bf\blue{ \diamond} \rm \: \: m \: - \: 8 \: = \: - 14 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 14 \: + \: 8 \\ \\ \large\bf\blue{ \diamond} \rm \: \: m \: = \: - 6$

6 0

3 years ago

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Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x

s2008m [1.1K]

Answer:

x = 1

Step-by-step explanation:

Using the rules of logarithms

log $x^{n}$ ⇔ n log x

$log_{b}$ x = n ⇔ x = $b^{n}$

Given

3 $log_{2}$ (2x) = 3

$log_{2}$ (2x)³ = 3

(2x)³ = 2³

8x³ = 8 ( divide both sides by 8 )

x³ = 1 ( take the cube root of both sides )

x = 1

7 0

3 years ago