Question

solve the below equation for x. Round your answer to two decimal places.

log(base 7) (1-x)=3

Answer 1

convert to exponent form :
7^3 = 1 - x
solve for x

Answer 2

ok so it would be 343=1-x??

Answer 3

yes, then solve for x

Answer 4

I got -342????

Answer 5

but that doesn't really make sense

Answer 6

correct

Answer 7

why not ?

Answer 8

well I thought it was going to be a decimal or something cuz it said to round ur answer to 2 decimal places

Answer 9

$$\bf \large {
log_7 (1-x)=3\\
\text{using log cancellation rule of }\\
\color{blue}{a^{log_ax} =x}\\
7^{log_7 (1-x)} = 7^3 \implies 1-x = 7^3
}
$$