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2 years ago

Please help me on this problem!

Mathematics

1 answer:

Airida [17]2 years ago

7 0

y = - 1/2

hope that helps

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Which of the following is true regarding the solutions to the logarithmic equation below? 2 log Subscript 6 Baseline (x) = 2. lo

Serggg [28]

Option c: x=6 is a true solution and x=-6 is an extraneous solution.

Explanation:

The equation is $2 \log _{6} x=2$

Dividing both sides of the equation by 2, we get,

$\frac{2 \log _{6}(x)}{2}=\frac{2}{2}$

Simplifying,

$\log _{6}(x)=1$

Since, we know by the logarithmic definition, if $\log _{a}(b)=c$ , then $b=a^{c}$

Using this definition, we have,

$x=6^{1}$

Hence, $x=6$

Now, let us verify if $x=6$ is the solution.

Substitute $x=6$ in the equation $2 \log _{6} x=2$ to see whether both sides of the equation are true.

We have,

$2 \log _{6}(6)$

Using the log rule, $\log _{a}(a)=1$

We have,

$2*1=2$

Hence, both sides of the equation are equal.

Thus, $x=6$ is the true solution.

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3 years ago

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Domain is what can be put into the function to make it work

Considering that there are no numbers that 3x^2 cannot handle then the domain is all real numbers

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3 years ago

Please help me on this problem!​

Please help me on this problem!