Question

Chapter 5:Indices and Logarithms
@ganeshie8

Answer 1

\[Given~that~3^{2x}-1-7=0,\]find the value of x by giving the answer correct to 2 decimal places.

Answer 2

\[3^{2x}=8\]

Answer 3

take the natural logarithm of both sides

Answer 4

\[\log _{10}3^{2x}=\log _{10}8\]

Answer 5

Yes, that works to, 2x comes down

Answer 6

\[2xlog _{10}3=\log _{10}8\]

Answer 7

yeah

Answer 8

\[2x=\frac{ \log _{10}8 }{ \log _{10}3 }\]

Answer 9

Yup, finish it off

Answer 10

\[x=0.95\]

Answer 11

Thnx @iambatman :)

Answer 12

Np