(a) Simplify $\frac{4^{x+2}-2^{2x+1}}{8^x(4^{1-x})}$ and express it in the form $a(2^{x-b})$ whe

Question

(a) Simplify $\frac{4^{x+2}-2^{2x+1}}{8^x(4^{1-x})}$ and express it in the form $a(2^{x-b})$ where $a$ and $b$ are integers.[3] (b) Hence, solve for $x$ if $\frac{4^{x+2}-2^{2x+1}}{8^x(4^{1-x})} = 15$.[2]

Accepted Answer

(a) $14(2^{x-2})$; (b) $x = 2.10$

Exponential and Logarithmic Functions - Applications of Exponential and Logarithmic Functions

Exponential and Logarithmic Functions - Applications of Exponential and Logarithmic Functions

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