What is the missing number in this simplified exponential expression: 8? Divide 8/4 = 8/15
To find the missing number in this simplified exponential expression, we need to solve the equation. The given equation is "8 divided by 4 equals 8 divided by 15."
To solve this equation, we can cross-multiply. We multiply the numerator of the left side with the denominator of the right side, and vice versa.
Cross-multiplying gives us:
8 x 15 = 4 x 8
Now, we simplify each side:
120 = 32
Since 120 does not equal 32, we can conclude that there is no missing number in this expression.
To find the missing number in the simplified exponential expression, let's analyze the given equation:
8/4 = 8/15
The equation seems to be inconsistent as the simplified expression on the left side is a simple division, while the expression on the right side involves a fraction. Therefore, there is no meaningful solution or missing number in this equation.
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.