Question

Solve 5^(x + 5) = 9^x

Answer 1

Do you know the values of log3 and log5??

Answer 2

im not sure what u mean, no

Answer 3

Here to solve this we have to use Logarithm..

Taking Log to the base 10 both the sides,
\[Log(5)^{x+5} = Log(9)^x\]

Now using power rule of Log,

\[Log(x)^a = a.Logx\]

So,

\[\large (x+5)Log5 = Log(3)^{2x}\]

\[\large (x+5)Log5 = 2x.Log3\]

Put the values of Log5 and Log3 and then solve for x..

Answer 4

\[\large Log5 = 0.6989\]

\[\large Log3 = 0.4771\]

Put these values and then solve for x..

Answer 5

ok, i got it, thanks :)

Answer 6

Welcome dear..