You are watching: If 343^x=49^4-x what is the value of x
Answer: x = 8/5. Transform both political parties of the equation right into terms with very same base:73x = 724 - xSimplify making use of exponent po
Convert both political parties of the equation into terms with very same base:(7^3)^x = (7^2)^4 - xSimplify making use of exponent power dominion (a^n)^m=a^nm:7^3 x = 7^8 - 2 xBased on the offered conditions, equivalent exponents space equal:3 x = 8 - 2 xRearrange unknown terms to the left next of the equation:3 x + 2 x = 8Combine choose terms:5 x = 8Divide both sides of the equation through the coefficient the variable:x = dfrac85Answer: x = dfrac85
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