Question

Solve for x

Answer 1

\[\huge x^{2} . \log ^{5}_{10}x = 100\]

Answer 2

@Directrix @ganeshie8 @Miracrown @wio @perl

Answer 3

should that say
x^2 * log x^5 = 100

Answer 4

yes very much

Answer 5

x=10 by inspection but you want it by working hard ok

Answer 6

this might be a non linear equation

Answer 7

yeah might be

Answer 8

\[ \large x^{2} \cdot \log ^{5}_{10}x = 100 \]

\[ \large x^{2/5}\cdot \log_{10}x = 100^{1/5} \]

\[ \large \log_{10}x^{x^{2/5}} = 100^{1/5} \]

\[ \large x^{x^{2/5}} = {10^{100}}^{1/5} \]

Answer 9

reading

Answer 10

\[\large x^{x^{2/5}} = 10^{{(10^2)}^{1/5}}\]

\[\large x^{x^{2/5}} = 10^{10^{2/5}}\]

Answer 11

yes

Answer 12

\[\large x^x = 10^{10}\]

Answer 13

x=10

Answer 14

haha

Answer 15

;) and just keepin mind we have worked it loosely w/o worrying too much about missing other solutions or domain restrictions

Answer 16

the only domain restriction can be that x cannot be <0 etc etc

Answer 17

i hope so..