To find the missing number, we can use the property of exponents that states that when dividing exponential expressions with the same base, you subtract the exponents.
In this case, we have 8/4 = 8/15.
Since the base of both expressions is 8, we can say that the missing number is the exponent that we need to subtract in order to get from 4 to 15.
In other words, we need to find the exponent x in the equation 4^x = 15.
Taking the logarithm of both sides, we have:
log(4^x) = log(15)
Using the property of logarithms that states log(a^b) = b*log(a), we can rewrite the equation as:
x * log(4) = log(15)
Now, we can solve for x by dividing both sides of the equation by log(4):
x = log(15) / log(4)
Using a calculator, we find that x is approximately 1.531.
Therefore, the missing number in the simplified exponential expression 8/4 = 8/15 is approximately 1.531.
What is the missing number in this simplified exponential expression: 8? Divide 8/4 = 8/15
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