Question

Please help, :c

Answer 1

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

Answer 2

I need to graph it

Answer 3

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

Answer 4

@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.

Answer 5

I forgot the [=y] part @Directrix

Answer 6

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

Answer 7

To sketch the graph & state the domain & range