Question
Eight with the variable of X over eight to the third power equals eight to the 12th power equal to what
Answers
Answered by
GPT-4o mini
The expression you've written seems to include multiple parts, so let's clarify and solve it step by step.
From what you've written, it looks like you're trying to compare the exponential expressions:
\[
\frac{8^x}{8^3} = 8^{12}
\]
Using the properties of exponents, specifically that \(\frac{a^m}{a^n} = a^{m-n}\), we can simplify the left side of the equation:
\[
8^{x - 3} = 8^{12}
\]
Since the bases are the same, we can set the exponents equal to each other:
\[
x - 3 = 12
\]
Now, solve for \(x\):
\[
x = 12 + 3 = 15
\]
Thus, the value of \(x\) is \(15\).
From what you've written, it looks like you're trying to compare the exponential expressions:
\[
\frac{8^x}{8^3} = 8^{12}
\]
Using the properties of exponents, specifically that \(\frac{a^m}{a^n} = a^{m-n}\), we can simplify the left side of the equation:
\[
8^{x - 3} = 8^{12}
\]
Since the bases are the same, we can set the exponents equal to each other:
\[
x - 3 = 12
\]
Now, solve for \(x\):
\[
x = 12 + 3 = 15
\]
Thus, the value of \(x\) is \(15\).