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3 years ago

-6- -2n=3n -(6+5) help lol sry I actually just need a little push on this question

Mathematics

2 answers:

jek_recluse [69]3 years ago

7 0

-6- -2n=3n -(6+5)

combine like terms

-6 +2n = 3n -11

subtract 2n from each side

-6 = n-11

add 11 to each side

-6 +11 = n

5 =n

alexdok [17]3 years ago

7 0

-6- -2n=3n -(6+5)

-6=5n-6-5

-6=5n -11

5=5n

n=1

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3 years ago

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Nookie1986 [14]

So, the value of x is 1.19

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<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

Since $4^{x} + 6^{x} = 9^{x}$ ,

Dividing through by 4ˣ, we have

$\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} } = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} } = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} } = (\frac{3}{2})^{2x} }$

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Substituting the values of the variables into the equation, we have

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Takung logarithm of both sides, we have

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