What is the answer to log_{6}(6^{x+1}-215)=x-2 ?

The answer to log_{6}(6^{x+1}-215)=x-2 is x=2

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log_{6}(6^{x+1}-215)=x-2

lo g_{6} (6^{x + 1} - 215) = x - 2

x = 2

Solution steps

lo g_{6} (6^{x + 1} - 215) = x - 2

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

6^{l o g_{6} (6^{x + 1} - 215)} = 6^{x - 2}

Simplify

6^{l o g_{6} (6^{x + 1} - 215)} : 6^{x + 1} - 215

6^{x + 1} - 215 = 6^{x - 2}

Solve

6^{x + 1} - 215 = 6^{x - 2} : x = 2

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

ln (x) = 3.8

0.68 = lo g_{10} (x)

x, lo g_{3} (x) = 4

ln (2 + x) = 1

lo g_{x + 4} (3 x^{2} + 4 x + 16) = 2

What is the answer to log_{6}(6^{x+1}-215)=x-2 ?
The answer to log_{6}(6^{x+1}-215)=x-2 is x=2
Solve for x: log_{6}(6^{x+1}-215)=x-2
The solution is x=2