Solve an exponential equation when your base is a fraction

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👉 Learn how to solve exponential equations involving fractions. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we make the base of both sides of the equation to be equal so that we can then equate the exponents. When the exponential equation involves a fraction, recall from the laws of exponents, we can get rid of the fraction by taking the negative of the exponent.

Organized Videos:
✅Solve Exponential Equations
✅Solve Exponential Equations | Learn About
✅Solve Exponential Equations with a Calculator
✅Solve Exponential Equations with Fractions
✅Solve Exponential Equations | Easy
✅Solve Exponential Equations with e
✅Solve Exponential Equations with Logarithms
✅Solve Exponential Equations without a Calculator

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i Wish my teacher made math this interesting, your students are lucky.

dr.apostasy
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let me know if there is anything else I can do to help!

brianmclogan
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It's great that your student caught the "negative" when you finished. I LOVE when that happens!

stephenjones
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Then the exponent is 1 and the fraction is unchanged

brianmclogan
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What an attractive teacher. Why you wouldn't pay attention to him is beyond me.

danielleon
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Saved my Afternoon. Thank you, my math teacher started to explain then gave up after she wrote the problem. Middle school problems.

NateGreve
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Oh my gosh! amazing teacher! i was struggling lots with this! Thank you!

ashleyperez
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Marie Charles
MAC1105 Tuesday-Thursday 9:30-10:45
how to get rid of fractions when solving exponential equations.

nancycharles
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thanks again bud. saved my life for the hundredth time now.

BigKfishing
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This helped me so much! My math final is tomorrow! Thank you!

greerg.
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what would I do though if the fraction is something like 3/2?

Josie
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Thanks, this was giving me a headache!

komunalaa
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Very Very Very helpful thank you so much.
I wish you could be my math teacher.

maishan
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So, how would you go about solving (1/4)^x=32^1/2x+3 ? I have no idea how to get the bases to be the same.

Serufi
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I wanted to ask this that can there be an exponential equation with two bases on one side raised to an exponent with the variable "x"

syednafiulhuda
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I have a question. How do i solve this?
(2/3)^2x+1 > 243

Wysteria_Willow
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what if the numerator is not 1, instead its something like(2/3)^a-1=27/8

topdude
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How did the exponent become negative X?

swingzbicasan
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So what do you do when there is no expo. to the fraction?

alexasbox
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Hi! I’d like to ask what if the given are 1/16^-x = 8^2x-7 ??

menace