Solve 4^5x = 16^2x-1

2 answers:

Rudiy273 years ago

5 0

Convert the exponential equation to a logarithmic equation using the logarithm base (16) of the right side $4^{5x}$ equals the exponent (2x−1).

 $(4^{5x}) = 2x - 1$

MrRa [10]3 years ago

5 0

Answer:

x = − 2

Step-by-step explanation:

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Tìm kiếm x y z x-1/y =1 y-1/z =1 z-1/x =1

const2013 [10]

y - 1/z = 1 ==> y = 1 + 1/z

z - 1/x = 1 ==> z = 1 + 1/x

==> y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)

x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1

==> 2x ² - 1 = 2x + 1

==> 2x ² - 2x - 2 = 0

==> x ² - x - 1 = 0

==> x = (1 ± √5)/2

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The answer is 4 x 1 3/4 =4 12/16

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