\[\log _{6} (x-1) - 5\]

I need to graph it

3. some_someone

log6(x-1)-5 Multiply log6 by each term inside the parentheses (x-1). log6(x)+log6(-1)-5 Multiply log6 by the x inside the parentheses. log6*x+log6(-1)-5 Multiply log6 by x to get xlog6. xlog6+log6(-1)-5 Multiply log6 by the -1 inside the parentheses. xlog6-log6*1-5 Multiply -log6 by 1 to get -log6. xlog6-log6-5 Simplify xlog6 by moving all terms inside the logarithm. The third law of logarithms states that the logarithm of a power of x is equal to the exponent of that power times the logarithm of x (e.g. log^b(x^(n))=nlog^b(x)). log(6^(x))-log6-5 Combine the logarithmic expressions using the product rule of logarithms. log((6^(x))/(6))-5

4. Directrix

@AdhaZeera If you need to graph this, where is the y that would be in the equation. Would you check to see if you wrote the question correctly? Thanks.

I forgot the [=y] part @Directrix

6. Directrix

So, is the equation y = log6(x-1)-5? Are the instructions to graph the equation? @AdhaZeera

To sketch the graph & state the domain & range

8. some_someone

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9. some_someone

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