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777dan777 [17]
3 years ago
6

O log2 3x + log2 3=2

Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

\large\boxed{x=\dfrac{4}{9}}

Step-by-step explanation:

\log_23x+\log_23=2\\\\\bold{DOMAIN}:\\3x>0\to x>0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_2\bigg[(3x)(3)\bigg]=2\\\\\log_29x=2\qquad\text{use}\ \log_ab=c\iff a^c=b\\\\\log_29x=\log_22^2\\\\\log_29x=\log_24\iff9x=4\qquad\text{divide both sides by 9}\\\\\dfrac{9x}{9}=\dfrac{4}{9}\\\\\boxed{x=\dfrac{4}{9}}\in \bold{DOMAIN}

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3 0
2 years ago
Is 21 a multiple of 6
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3 years ago
Given f(x)=e^-x^3 find the vertical and horizontal asymptotes
Aleonysh [2.5K]

Given:

f\mleft(x\mright)=e^{-x^3}

To find the vertical and horizontal asymptotes:

The line x=L is a vertical asymptote of the function f(x) if the limit of the function at this point is infinite.

But, here there is no such point.

Thus, the function f(x) doesn't have a vertical asymptote.

The line y=L is a vertical asymptote of the function f(x) if the limit of the function (either left or right side) at this point is finite.

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5 0
11 months ago
4(g-1)=24 what is g please help
denis23 [38]

Answer:

G=7

Step-by-step explanation:

4(g-1)=24

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4g=28

g=7

3 0
3 years ago
Read 2 more answers
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