Đáp án:
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Giải thích các bước giải:
a) $2^x+12=44$
$\Rightarrow 2^x=32\\\Rightarrow 2^x=2^5\\\Rightarrow x=5$
Vậy $x=5$.
b) $2.5^{x+1}-1\ 100=6.5^2$
$\Rightarrow 2.5^{x+1}-1\ 100=150\\\Rightarrow 2.5^{x+1}=1\ 250\\\Rightarrow 5^{x+1}=625\\\Rightarrow 5^{x+1}=5^4\\\Rightarrow x+1=4\\\Rightarrow x=3$
Vậy $x=3$.
c) $2.3^{x+1}=10.3^{12}+8+3^{12}$
$\Rightarrow 2.3^{x+1}=18.3^{12}\\\Rightarrow 3^{x+1}=9.3^{12}\\\Rightarrow 3^{x+1}=3^{14}\\\Rightarrow x+1=14\\\Rightarrow x=13$
Vậy $x=13$.
d) $2^x+2^{x+3}=144$
$\Rightarrow 2^x.(1+2^3)=144\\\Rightarrow 2^x.9=144\\\Rightarrow 2^x=16\\\Rightarrow 2^x=2^4\\\Rightarrow x=4$
Vậy $x=4$.
