Question

Log6 (x-4)=2............ .......................................

Answer 1

Log6 (x-4)=2,х>4
х-4=6 во 2 степени
х=36+4
х=40
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Answer 2

To solve the equation $\log_6(x-4) = 2$, we'll first isolate $x-4$ and then solve for $x$:

Step 1: Use the definition of logarithms to rewrite the equation: $\log_6(x-4) = 2$ $6^2 = x - 4$ (since $\log_a(b) = c$ is equivalent to $a^c = b$)

Step 2: Simplify and solve for $x$: $36 = x - 4$ $x = 36 + 4$ $x = 40$

So, the solution to the equation is $x = 40$.