Solve the exponential equation for x 625=5^(7x-3)

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Solve the exponential equation for x 625=5^(7x-3)

51-50

step-by-step explanation:

[tex]625 = 5^{7x-3} \\[/tex]

Create equivalent bases:

[tex]625 = 5^4\\5^4 = 5^{7x-3}[/tex]

Since the bases are equal, then exponent1 = exponent2 in order for this equation to be true.

[tex]7x - 3 = 4\\7x = 7\\x = 1[/tex]

Check the

[tex]5^{7(1) - 3}\\5^{7 - 3}\\5^4\\625 = 625[/tex]

Our answer is correct,

x = 1

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76

x=1

Step-by-step explanation:

A. x = 1

Step-by-step explanation:

[tex]5^{7x-3}=625\\\\5^{7x-3}=5^4\iff7x-3=4\qquad\text{add 3 to both sides}\\\\7x=7\qquad\text{divide both sides by 7}\\\\x=1[/tex]