<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%20%2B%202%20%7D%20%20%3D%209%20%5Ctimes%28%20%20%7B2%7D%5E%7Bx%7D%20%29%20-%

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3 years ago

202" id="TexFormula1" title=" {2}^{x + 2 } = 9 \times( {2}^{x} ) - 2" alt=" {2}^{x + 2 } = 9 \times( {2}^{x} ) - 2" align="absmiddle" class="latex-formula">
pls how is this solved

Mathematics

1 answer:

nataly862011 [7]3 years ago

7 0

Hello, please consider the following.

${2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...$

Let me know if you need further explanation.

Thank you

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4 years ago

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