Question

please help

Exponential and Logarithmic Equations
solve each equation. Give an exact solution.
log49^x=(-1/2)

Answer 1

is it
\(\Large \log 49^x = \dfrac{-1}{2}\)
??

Answer 2

yes

Answer 3

or
\(\large \log_{49} x = -1/2 \)
i think its prolly 2nd one

Answer 4

yes the second one sorry

Answer 5

\(\large \log_ab=c \implies b= a^c\)

\(\large \log_{49}x = -1/2 \implies ????\)

Answer 6

x=49^(-1/2)

Answer 7

correct!

now write 49 as 7^2 and try to simplify the exponent!

Answer 8

so it will 7^2^(-1/2)

Answer 9

yes,
notice that 2 will get cancelled
what remains ?

Answer 10

how???

Answer 11

got that ?