Pregunta
Find the solution to the equation,
(correct to 4 decimal places)
(correct to 4 decimal places)
Ask by Cruz Hamilton. in Ghana
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Solución
Solve the equation
.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Find the domain:
- step2: Move the expression to the left side:
- step3: Subtract the numbers:
- step4: Rewrite the expression:
- step5: Divide both sides:
- step6: Divide the numbers:
- step7: Convert the logarithm into exponential form:
- step8: Evaluate the power:
- step9: Add or subtract both sides:
- step10: Calculate:
- step11: Rewrite the expression:
- step12: Multiply both sides of the equation by
- step13: Multiply the terms:
- step14: Divide the terms:
- step15: Check if the solution is in the defined range:
- step16: Find the intersection:
The solution to the equationis (correct to 4 decimal places).
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To solve the equation
, we first isolate the logarithmic term:
-
Subtract 3 from both sides:
-
Divide both sides by 2:
-
Exponentiate both sides to eliminate the logarithm:
-
Now isolate
: -
Finally, multiply both sides by 7 to solve for
:
Now, using a calculator to find
:
Now substitute that back into our equation:
Therefore, rounding to four decimal places, the solution is:
Thus,
.
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