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Luda [366]
4 years ago
7

PLEASE HELPPPP ! 16^x=64^x+4

Mathematics
1 answer:
Vladimir [108]4 years ago
4 0

Answer:

x = -12

Step-by-step explanation:

Set logs up on both sides-

log 16^x = log 64^x+4

The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-

x * log 16 = x + 4 * log 64

Divide both logs out-

log 64/log 16 = 1.5

Simplify-

x = x+4(1.5)

1.5x + 6 = x

Remove 1.5-

1 - 1.5 = -.5x

Simplify-

-.5x = 6

Divide both sides-

6/-.5x = -12

Hence, the answer would be -12

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Photo attached! 15 points! Thank you in advance!!
adoni [48]

Result x= 4 (D) and x = -3 (F). You should follow these steps:

X² + 4x - 9 = 5x +3 => X² + 4x - 5x - 9 = 3  => X² - x - 9 -3 = 0

Base on (a +b)² = a² + 2ab + b² and (a+b)² = value => a+b = +/- Value so

X² - x - 9 -3  = 0 => X² - x - 12 = 0 => X² - 2x.1/2 + 1/2² - 1/2² - 12 = 0

(X -1/2)² - 1/4 - 12 = 0 => (X-1/2)²  - 1/4 - 48/4 = 0  => (X-1/2)²  = 49/4

(x-/12) = +/- 7/2  So x -1/2 = 7/2 or x -1/2 = -7/2

And result is x = 8/2 = 4 or x = -6/2 = -3


7 0
3 years ago
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Vesnalui [34]
The oldest son spent $10 on candy. 40 + 25 = 65 + 10 = 75 then the other 10 was spent on candy by the oldest son
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2 years ago
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Step-by-step explanation:

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