Question

solve the equation show your work

27^x ^- 6 = 9^x^ – 1

Answer 1

Can you rewrite that with the equation editor? Click the \(\sum\) Equation button at lower left...

Answer 2

it only shows up like tht...but x-6 is sopose to be to the power like an exponet as well as x-1

Answer 3

Oh, so it is this?
\[27^{x-6} = 9^{x-1}\]

The way you've written suggests you meant
\[27^{x^{-6}} = 9^{x^{-1}}\]

Answer 4

oh sorry its the 1st one you wrote

Answer 5

the answer is much nicer for the 1st option :-)

Answer 6

yea so can u help?

Answer 7

make the base the same...

Answer 8

Why don't you divide both sides by \(9^{x-1}\)? You can use the property of exponents that \[(ab)^n = a^nb^n\] to split the left side into a 3^ part * a 9^ part

Answer 9

Then remember that \(a^0 = 1\) so long as \(a \ne 0\).

Answer 10

You do the rest