dramaticvicky8596 dramaticvicky8596
  • 25-09-2018
  • Mathematics
contestada

Solve: logx64 = 3 which is an equivalent equation?

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Аноним Аноним
  • 08-10-2018

By applying the definition of logarithm, you have

[tex] \log_x(64) = 3 \iff x^3 = 64 [/tex]

So, if you consider the cubic root of both sides, you have

[tex] x = \sqrt[3]{64} = 4 [/tex]

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PiaDeveau PiaDeveau
  • 26-11-2021

The value of given x is 4

Given that;

logₓ64 = 3

Find:

The value of x

Computation:

logₓ64 = 3

By eliminating log

x³ = 64

x = ∛64

x = ∛(4)³

x = 4

The value of x = 4

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