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Question Number 16823 by tawa tawa last updated on 26/Jun/17

$$\mathrm{solve}\mathrm{for}\mathrm{g}.$$$$6(4^{\mathrm{x}}+{\mathrm{g}}^{\mathrm{x}})=13.6^{\mathrm{x}}$$

Commented by mrW1 last updated on 26/Jun/17

$$\mathrm{x}\ne 0$$$$4^{\mathrm{x}}+{\mathrm{g}}^{\mathrm{x}}=13\times 6^{\mathrm{x}-1}$$$${\mathrm{g}}^{\mathrm{x}}=13\times 6^{\mathrm{x}-1}-4^{\mathrm{x}}$$$$\mathrm{g}={(13\times 6^{\mathrm{x}-1}-4^{\mathrm{x}})}^{1/\mathrm{x}}$$

Commented by tawa tawa last updated on 26/Jun/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$$$\mathrm{i}\mathrm{have}\mathrm{recheck},\mathrm{it}\mathrm{is}{9}^{\mathrm{x}}\mathrm{and}(13.6)\mathrm{is}\mathrm{a}\mathrm{decimal}\mathrm{point}.{(13.6)}^{\mathrm{x}}$$

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