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\(2^{x+2}-2^x=96\)
\(\Rightarrow2^x\cdot2^2-2^x=96\)
\(\Rightarrow2^x\left(2^2-1\right)=96\)
\(\Rightarrow2^x\left(4-1\right)=96\)
\(\Rightarrow2^x\cdot3=96\)
\(\Rightarrow2^x=96:3\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
\(5^x+5^{x+1}=750\)
\(\Rightarrow5^x+5^x\cdot5=750\)
\(\Rightarrow5^x\left(1+5\right)=750\)
\(\Rightarrow5^x\cdot6=750\)
\(\Rightarrow5^x=750:6\)
\(\Rightarrow5^x=125\)
\(\Rightarrow5^x=5^3\)
\(\Rightarrow x=3\)
\(2^{x+3}+2^x=144\)
\(\Rightarrow2^x\cdot2^3+2^x=144\)
\(\Rightarrow2^x\left(2^3+1\right)=144\)
\(\Rightarrow2^x\cdot9=144\)
\(\Rightarrow2^x=144:9\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
{x2-[36(64-63)3-35]-15}3=1
{x2-[36.13-35]-15}3=1
{x2-[36.1-35]-15}3=1
{x2-[36-35]-15}3=1
{x2-1-15}3=1
{x2-1-15}3=13
=>x2-1-15=1
x2=1+1+15
x2=17
x2=căn của 7
=>x=căn 7
Vậy x=căn 7
tk nha
<=>{x2-[62(64-63)3-35]3-15}3=1
<=>[x2-(62.13-35)3-15]3=1
<=>[x2-(36-35)3-15]3=1
<=>(x2-1-15)3=1
<=>(x2-16)=\(\sqrt{1}=1\)
=>x2=17=>x=\(\sqrt{17}\)
\(\left(X^2-\left(6^2-\left(8^2-9.7\right)-7.5\right)5^3\right)\)\(=1\)
\(\left(X^2-\left(36-\left(64-63\right)^3-35\right)^3-15\right)^3\)\(=1\)
\(\left(X^2-\left(36-1^3-35\right)^3-15\right)^3\)\(=1\)
\(\left(X^2-\left(36-1-35\right)^3-15\right)^3\)\(=1\)
\(\left(X^2-\left(35-35\right)^3-15\right)^3\)\(=1\)
\(\left(X^2-0^3-15\right)^3\)\(=1^3\)
\(\Rightarrow X^2-0-15\)\(=1\)
\(X^2-15\)\(=1\)
\(X^2=15+1\)
\(X^2=16\)
Mà: \(X^2=4^2\)
\(\Rightarrow X=4\)
Mấy cái này mũ thấp:
a) 48+288:(x-3)2=50 <=> 288:(x-3)2=2 <=> (x-3)2=144 <=> \(\orbr{\begin{cases}x-3=12\\x-3=-12\end{cases}}\)<=>\(\orbr{\begin{cases}x=9\\x=-15\end{cases}}\).Vậy,...
b) x2-15=1 <=> x=+-4. Vậy,...
c) 45:x=5 <=> x=9. Vậy,...
\(\left\{x^2-\left[6^2-\left(8^2-9\cdot7\right)^3-7\cdot5\right]^3-5\cdot3\right\}^3=1\)
\(\Rightarrow x^2-\left[6^2-\left(8^2-9\cdot7\right)^3-7\cdot5\right]^3-5\cdot3=1\)
\(\Rightarrow x^2-\left[36-\left(64-63\right)^3-35\right]^3-15=1\)
\(\Rightarrow x^2-\left[36-1^3-35\right]^3-15=1\)
\(\Rightarrow x^2-0-15=1\)
\(\Rightarrow x^2=1+15\)
\(\Rightarrow x^2=16\)
\(\Rightarrow x^2=4^2\)
\(\Rightarrow x=4\)
Vậy x =4
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