Question

5^(9x)=25^(4x+2) SHOW STEPSSSS

Answer 1

Answer:

x = 4

Step-by-step explanation:

$5^{9x} =25^{4x+2}$

First you need to get a common base as your number.

$5^{9x} =5^{2(4x+2)}$

The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.

$5^{9x} =5^{8x+4}$

Now we can use this statement:

$A^{m} =A^{n}$ if $m=n$

Using this we solve:

9x = 8x+4

-8x  -8x

x = 4

Hope it helps!