The equation Log 4(x+2)^3 = 10 is a logarithmic equation
The value of x in the equation is [tex]x = -2 + \sqrt[3]{1048576}[/tex]
How to solve the equation?
The equation is given as:
Log 4(x+2)^3 = 10
Apply the change of base rule of logarithm
(x + 2)^3 = 4^10
Evaluate the quotient
(x + 2)^3 = 1048576
Take the cube root of both sides
[tex]x + 2 = \sqrt[3]{1048576}[/tex]
Subtract 2 from both sides
[tex]x = -2 + \sqrt[3]{1048576}[/tex]
Hence, the value of x in the equation is [tex]x = -2 + \sqrt[3]{1048576}[/tex]
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