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

Sagot :

rosygupt26

Answer:

x = 4

Step-by-step explanation:

[tex]5^{9x} =25^{4x+2}[/tex]

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

[tex]5^{9x} =5^{2(4x+2)}[/tex]

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.

[tex]5^{9x} =5^{8x+4}[/tex]

Now we can use this statement:

[tex]A^{m} =A^{n}[/tex] if [tex]m=n[/tex]

Using this we solve:

9x = 8x+4

-8x  -8x

x = 4

Hope it helps!

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