Which value for x makes the sentence true? 2/3x=8/9

Mathematics

1 answer:

9966 [12]2 years ago

3 0

Answer: D

Step-by-step explanation:

The goal is to isolate 'x'. If you apply an operation to both sides of an equation, it does not change the equality. If you multiply both sides of the equation by 3/2, then the 2/3 on the left-side will cancel leaving the following:

$x=\frac{8}{9} *\frac{3}{2}$

When multiplying fractions, you simply multiply through and through. Therefore the above equation becomes:

$x=\frac{24}{18}$

The fraction can be simplified by dividing the top and bottom by 6, to get

$x=\frac{4}{3}$

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Answer:

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Step-by-step explanation:

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3 years ago

Help please thank you

lara31 [8.8K]

One of the rules of logarithms is as follows;

$\begin{gathered} \log _ab=x \\ Is\text{ equivalent to,} \\ a^x=b \end{gathered}$

We can now insert the corresponding values in the question provided, as shown below;

$\begin{gathered} \log _2\frac{1}{16}=-4 \\ \text{This is equivalent to,} \\ 2^{-4}=\frac{1}{16} \end{gathered}$

Note that, one of the rules of exponents, states that a number when raised to the power of a negative value, is equivalent to the reciprocal of that expression. An example is shown below;