To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator. Simplify the resulting fraction if possible.
I know it's positive, and I THINK it's non-linear
Answer: 8
<u>Step-by-step explanation:</u>
log₃ (x² - 32) = log₃ (4x) restrictions: x² - 32 > 0 and 4x > 0 ⇒ x > 4√2
x² - 32 = 4x
x² - 4x - 32 = 0
(x - 8)(x + 4) = 0
x - 8 = 0 or x + 4 = 0
x = 8 or x = -4
<em> -4 does not meet the restriction so not valid</em>
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Answer: y = 7x - 6
<u>Step-by-step explanation:</u>
<u> 7x -6 </u>
x² + 0x + 4 ) 7x³ - 6x² + 0x + 7
<u>-7x³ + 0x² - 28x</u>
-6x² - 28x + 7
<u> 6x² + 0x + 24</u>
-28x + 31
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Answer: x =
<u>Step-by-step explanation:</u>
ln 3 + ln x = ln 6 + ln (3x - 3) restrictions: x > 0 and 3x - 3 > 0 ⇒ x > 1
ln (3 * x) = ln (6*(3x - 3))
ln (3x) = ln (18x - 18)
3x = 18x - 18
<u>-18x </u> <u>-18x </u>
-15x = -18
x =
> 1 so answer is valid
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Answer: -5.9761
<u>Step-by-step explanation:</u>
log ₁₎₂ 63
=
=
= -5.9761