If 4^x=10^4, what would the value of 8^x be?
4^x=(2^x) X (2^x)=10^4=10^2 X 10^2, therefore,
8^x=2^x 4^x=10^2 X 10^4=10^6
8^x=1,000,000
This is a great little question
\(4^x=10^4\\ (2)^{2x}=10^4\\ (2^3)^{\frac{2x}{3}}=10^4\\ (8)^{\frac{2x}{3}}=10^4\\ [(8)^{\frac{2x}{3}}]^{\frac{3}{2}}=[10^4]^{\frac{3}{2}}\\ 8^x=10^6 \)
