\(a,2.\left(x+15\right)-5=35\)
\(\Leftrightarrow2.\left(x+15\right)=35+5\)
\(\Leftrightarrow2.\left(x+15\right)=40\)
\(\Leftrightarrow x+15=40:2\)
\(\Leftrightarrow x+15=20\)
\(\Leftrightarrow x=20-15\)
\(\Leftrightarrow x=5\) \(\text{Vậy }x=5\)
\(b,9x-33=3^{2015}:3^{2014}\)
\(\Leftrightarrow9x-33=3^{2015-2014}\)
\(\Leftrightarrow9x-33=3\)
\(\Leftrightarrow9x=3+33\)
\(\Leftrightarrow9x=36\)
\(\Leftrightarrow x=36:9\)
\(\Leftrightarrow x=4\) \(\text{Vậy }x=4\)
\(c,3.\left(2x-4\right)^3=24\)
\(\Leftrightarrow\left(2x-4\right)^3=24:3\)
\(\Leftrightarrow\left(2x-4\right)^3=8\)
\(\Leftrightarrow\left(2x-4\right)^3=2^3\)
\(\Leftrightarrow2x-4=2\)
\(\Leftrightarrow2x=2+4\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=6:2\)
\(\Leftrightarrow x=3\) \(\text{Vậy }x=3\)
\(d,\left(x-140\right):7=3\)
\(\Leftrightarrow\left(x-140\right)=3.7\)
\(\Leftrightarrow x-140=21\)
\(\Leftrightarrow x=21+140\)
\(\Leftrightarrow x=161\) \(\text{Vậy }x=161\)
\(e,2.3^x-5^3:5^5=29\)
\(\Leftrightarrow2.3^x-5^3:5^3:5^2=29\)
\(\Leftrightarrow2.3^x-1:5^2=29\)
\(\Leftrightarrow2.3^x-\frac{1}{25}=29\)
\(\Leftrightarrow2.3^x=29+\frac{1}{25}\)
\(\Leftrightarrow2.3^x=\frac{726}{25}\)
\(\Leftrightarrow3^x=\frac{726}{25}:2\)
\(\Leftrightarrow3^x=\frac{726}{25}:2\)
\(\Leftrightarrow3^x=\frac{363}{25}\)
\(\Leftrightarrow3^x=3^{2,435369636...}\)
\(\Leftrightarrow x=2,435369636...\)
\(\text{Vậy }x=2,435369636\left(\text{bạn thử kiểm tra lại đề nha}\right)\)
\(f,12:x\text{ và }x\le5\)
\(\text{Do }x\le5\)
\(\Leftrightarrow12:x\le2,4\left(\text{lấy 12 chia cho cả 2 vế}\right)\)
\(\text{Câu này bạn phải cho điều kiện }x\in N,\text{nếu không x có nhiều giá trị lắm }\)
\(\text{Nếu }x\in N\Rightarrow12:x\in N\)
\(\Leftrightarrow12:x\le2,4\left(\text{lấy 12 chia cho cả 2 vế}\right)\)
\(\Rightarrow12:x\in\left\{0;1;2\right\}\)
\(\begin{matrix}12:x&0&1&2\\x&x\in\varnothing&12&6\\\text{Đánh giá}&Loại&Chọn&Chọn\end{matrix}\)
\(\text{Vậy }x\in\left\{6;12\right\}\)
\(g,3x-2x+7x=16\)
\(\Leftrightarrow x.\left(3-2+7\right)=16\)
\(\Leftrightarrow x.8=16\)
\(\Leftrightarrow x=16:8\)
\(\Leftrightarrow x=2\) \(\text{Vậy }x=2\)
\(h,5^{10}.\left(2x-1\right)=5^{12}\)
\(\Leftrightarrow2x-1=5^{12}:5^{10}\)
\(\Leftrightarrow2x-1=5^2\)
\(\Leftrightarrow2x-1=25\)
\(\Leftrightarrow2x=25+1\)
\(\Leftrightarrow2x=26\)
\(\Leftrightarrow x=26:2\)
\(\Leftrightarrow x=13\) \(\text{Vậy }x=13\)
\(i,5⋮\left(x+1\right)\)
\(\Rightarrow x+1\inƯ\left(5\right)=\left\{-1;1;-5;5\right\}\)
| x+1 | 1 | -1 | 5 | -5 |
| x | 0 | -2 | 4 | -6 |
| Đánh giá | Chọn | Chọn | Chọn | Chọn |
\(\text{Vậy }x\in\left\{-6;-2;0;4\right\}\)
