4^2x-1 -16^x-1 =384
Answers
Step-by-step explanation:
384=1/3x^8^2x^6
Two solutions were found :
x = ± 70th root of 1152 = ± 1.1059
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x6" was replaced by "x^6". 1 more similar replacement(s).
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
384-(1/3*x^8^2*x^6)=0
Step by step solution :
Step 1 :
1.1 8 = 23
(8)2 = (23)2 = 26
Equation at the end of step 1 :
1
384 - ((— • (x2^6)) • x6) = 0
3
Step 2 :
1
Simplify —
3
Equation at the end of step 2 :
1
384 - ((— • x64) • x6) = 0
3
Step 3 :
Equation at the end of step 3 :
x64
384 - (——— • x6) = 0
3
Step 4 :
Multiplying exponential expressions :
4.1 x64 multiplied by x6 = x(64 + 6) = x70
Equation at the end of step 4 :
x70
384 - ——— = 0
3
Step 5 :
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
384 384 • 3
384 = ——— = ———————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
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Ans: x=11/4
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