Solving exponential equations using exponent rules

All in One Place

Everything you need for better grades in university, high school and elementary.

Learn with Ease

Made in Canada with help for all provincial curriculums, so you can study in confidence.

Instant and Unlimited Help

Get the best tips, walkthroughs, and practice questions.

0/9
?
Examples
Lessons
  1. Solve for "xx", with common base
    1. 2x=252^x=2^5
    2. 32x+1=311 3^{2x+1}=3^{11}
  2. Solve for "xx ", by converting to common base
    1. 34x−8=27−2x3^{4x-8}=27^{-2x}
    2. 87−2x=165x+10 8^{7-2x}=16^{5x+10}
    3. 3x4−45=815729 3^{\frac{x}{4}-\frac{4}{5}}=81{^5}\sqrt{729}
    4. 1812−x=274x+5\frac{1}{81^{2-x}}=27^{4x+5}
    5. (14)1−2x=8x−3(\frac{1}{4})^{1-2x}=8^{x-3}
    6. 9x+2=(34x−3)(35)9^{x+2}=(3^{4x-3})(3^5)
    7. (3431000)−12x=(107)x(\frac{343}{1000})^{-\frac{12}{x}}=(\frac{10}{7})^x
  3. Solve: 5(9x)+40(3x)−45=05(9^x)+40(3^x)-45=0
    Topic Notes
    ?