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2-x-log-2-3-12-find-x-




Question Number 205817 by hardmath last updated on 31/Mar/24
2^( x + log_2  3)  = 12  ⇒  find:  x = ?
$$\mathrm{2}^{\:\boldsymbol{\mathrm{x}}\:+\:\boldsymbol{\mathrm{log}}_{\mathrm{2}} \:\mathrm{3}} \:=\:\mathrm{12}\:\:\Rightarrow\:\:\mathrm{find}:\:\:\mathrm{x}\:=\:? \\ $$
Answered by A5T last updated on 31/Mar/24
(2^x )(2^(log_2 3) )=12⇒(2^x )(3)=12⇒2^x =4⇒x=2
$$\left(\mathrm{2}^{{x}} \right)\left(\mathrm{2}^{{log}_{\mathrm{2}} \mathrm{3}} \right)=\mathrm{12}\Rightarrow\left(\mathrm{2}^{{x}} \right)\left(\mathrm{3}\right)=\mathrm{12}\Rightarrow\mathrm{2}^{{x}} =\mathrm{4}\Rightarrow{x}=\mathrm{2} \\ $$
Answered by MM42 last updated on 31/Mar/24
2^x ×3=12⇒x=2 ✓
$$\mathrm{2}^{{x}} ×\mathrm{3}=\mathrm{12}\Rightarrow{x}=\mathrm{2}\:\checkmark \\ $$

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