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Sonja [21]
2 years ago
6

Solve 2^(6x-12)=(32)^(3x+12) for x.

Mathematics
2 answers:
Gre4nikov [31]2 years ago
8 0

Answer:

X = - 8

Let's solve your equation step-by-step.

26x−12=323x+12

Solve Exponent.

26x−12=323x+12

log(26x−12)=log(323x+12)(Take log of both sides)

(6x−12)*(log(2))=(3x+12)*(log(32))

6x−12=(

log(32)

log(2)

)*(3x+12)

6x−12=5*(3x+12)

6x−12=15x+60(Simplify both sides of the equation)

6x−12−15x=15x+60−15x(Subtract 15x from both sides)

−9x−12=60

−9x−12+12=60+12(Add 12 to both sides)

−9x=72

−9x

−9

=

72

−9

(Divide both sides by -9)

x=−8

sp2606 [1]2 years ago
7 0

Answer:The answer is x/52

Step-by-step explanation:

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2 years ago
The formula below, Newton's law of cooling, allows us to calculate the temperature of an object as it cools. T = R + (T0 − R)e-k
trasher [3.6K]
The Newton`s law of cooling:
T = R + ( To - R ) * e ^(-kt )
We know that: T = 32° F ( the water freezes at 32° F ), To = 55° F, R = 5° F
and the cooling rate is:  k = 0.012.
33° F = 5° F + ( 55° F - 5° F ) · 2.72^(-0.012 t )
33 - 5 = 50 · 2.72^(-0.012 t)
27 = 50 · 2.72^(-0.012 t)
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3 years ago
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