the value of x is -3. Option B
How to determine the value
WE have the expression to be;
4^x=(1/8)^x+5
With the knowledge of indices, we have that;
2 = 2 ^1
4 = 2^2
8 = 2^3
16 = 2^4
32 = 2^5
So from this given information,
we can express the expression as;
4^x = 2^2x
1/8^x = 2^-3x
Substitute into the formula
2^2x = 2^-3x - 15
Cancel out the like terms
2x = -3x - 15
collect like terms
2x + 3x = - 15
x = -15/ 5
x = -3
Thus, the value of x is -3. Option B
Learn more about index notation here:
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