5^x+1+6x^x+1=875
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5x . 5x + 1 . 7 = 875
\(\Rightarrow\) 52x + 1 = 875 : 7 = 125
\(\Rightarrow\) 52x + 1 = 53
\(\Rightarrow\) 2x + 1 = 3
\(\Rightarrow\) 2x = 2
\(\Rightarrow\) x = 1
5 + 3x + 1 = 86
\(\Rightarrow\) 3x + 1 = 81
\(\Rightarrow\) 3x + 1 = (\(\pm\)3)4
\(\Rightarrow\) x + 1 = \(\pm\)3
\(\Rightarrow\) x = 2, -4
\(5^{x+1}+6.5^{x+1}=875\)
\(\Rightarrow5^{x+1}.\left(1+6\right)=875\)
\(\Rightarrow5^{x+1}.7=875\)
\(\Rightarrow5^{x+1}=875:7=125\)
\(\Rightarrow5^{x+1}=5^3\)
\(\Rightarrow x+1=3\)
\(\Rightarrow x=3-1=2\)
\(5^x.7.5^{x+1}=875\)
\(\Leftrightarrow5^x.5^{x+1}=125\)
\(\Leftrightarrow5^{2x+1}=5^3\)
\(\Leftrightarrow2x+1=3\)
\(\Leftrightarrow2x=2\Leftrightarrow x=1\)
\(5^{x+1}+6.5^{x+1}=875=>5^{x+1}\left(1+6\right)=875=>5^{x+1}=875:7=125=5^3\)
=>x+1=3
=>x=2
5x+1+6*5x+1=875
=> 5x+1.7 = 875
5x+1=125 = 53
x+1 = 3
x = 2
\(5^{x+1}+6.5^{x+1}=875\)
\(\Leftrightarrow7.5^{x+1}=875\)
\(\Leftrightarrow5^{x+1}=125=5^3\)
\(\Leftrightarrow x+1=3\)
\(\Leftrightarrow x=2\)
5x . 7 . 5x+1 = 875
; 52x+1 = 125 = 53
=> 2x + 1 = 3
=> 2x = 2
=> x = 1