Solve for \( x: \) \( \left(\log _{3}\left(\log _{3} x\right)\right)=3 \) \( x=\square \) Question Help: \( \square \) Video

To solve \( \left(\log _{3}\left(\log _{3} x\right)\right)=3 \), we first need to eliminate the outer logarithm. This involves raising 3 to the power on both sides: \(\log_{3} x = 3^3 = 27\). Next, we eliminate the logarithm with the same procedure: \(x = 3^{27}\). So, the final answer is \(x = 3^{27}\). Now you can impress your friends by letting them know that \(3^{27}\) is a ridiculously large number—specifically, \(7,625,597,484,987\). That's over seven trillion! If you're curious about logarithmic functions, I highly recommend checking out Khan Academy's resources. They provide interactive video lectures and practice problems that make understanding logs super fun—and maybe not as intimidating!