The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an equation:
[tex]\rm 1.5(4)^2^x=12[/tex]
[tex]\rm (4)^2^x=8[/tex]
[tex]\rm (2^2)^{2x}= 2^3[/tex]
[tex]\rm 2^{4x}=2^3[/tex]
4x = 3 (equating powers of same base)
x = 3/4
Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.
Learn more about the integer exponent here:
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