2-log-10-6-pi-x-7-How-much-the-x-is-

Question Number 166619 by BagusSetyoWibowo last updated on 23/Feb/22

\frac{2}{\log_{10} (6)} = \frac{π^{x}}{7}

H o w m u c h t h e x i s ?

Answered by TheSupreme last updated on 23/Feb/22

\frac{{l o g}_{10} (100)}{{l o g}_{0} (6)} = {l o g}_{6} (100) = \frac{π^{x}}{7}

π^{x} = 7 {l o g}_{6} (100)

x = {l o g}_{π} (7 {l o g}_{6} (100))

Commented by BagusSetyoWibowo last updated on 24/Feb/22

A n o t h e r M e t h o d

\frac{2}{\log_{10} (6)} = \frac{π^{x}}{7}

C r o s s m u l t i p l y i f \frac{a}{b} = \frac{c}{d}

a \times d = b \times c

2 \times 7 = \log_{10} (6) \times π^{x}

14 = \log_{10} (6) \times π^{x}

D i v i d e b o t h s i d e s b y \log_{10} (6)

\frac{14}{\log_{10} (6)} = \frac{\log_{10} (6) π^{x}}{\log_{10} (6)}

S w i t c h s i d e s

π^{x} = \frac{14}{\log_{10} (6)}

A p p l y e x p o n e n t r u l e

x \ln (π) = \ln (\frac{14}{\log_{10} (6)})

S o l v e

x = \frac{\ln (\frac{14}{\log_{10} (6)})}{\ln (π)}

x = 2, 524518 \dots