Solve the exponential equation for x 625=5^(7x-3) Posted on October 23, 2021 By Karkarntx 5 Comments on Solve the exponential equation for x 625=5^(7x-3) Solve the exponential equation for x 625=5^(7x-3) Mathematics
[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 = 1Reply
A. x = 1Step-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]Reply
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]