Answer :
The value of x =7
Power:
An expression that represents repeated multiplication of the same factor is called a power.
Exponent:
The number 5 is called the base, and the number 2 is called the exponent.
Given that
8^(x+3) = 2^(x-5)
to find the value of x we need to make bases equal
if the bases are equal then powers are also equal
8 can be written as [tex]2^{3}[/tex]
so ,now we need to replace 8 with [tex]2^{3}[/tex]
[tex]2^{3}[/tex] ^(x+3) = 2^(x-5)
2^(3x+9) = 2^(x-5)
bases are equal now powers also equal
3x + 9 = x - 5
2x = 14
x = 7
The value of x =7
To know more about powers:
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