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Starting from $\frac{2^{3x+2} + 8}{2^{3x} - 7} = 5$, determine $2^{3x}$ and then, by taking logarithms, determine $x$ correct to $4$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Starting from $\frac{2^{3x+2} + 8}{2^{3x} - 7} = 5$, determine $2^{3x}$ and then, by taking logarithms, determine $x$ correct to $4$ significant figures.