Solve for x please. I need step-by-step explanation. Thank you.

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

4 0

Step-by-step explanation:

$(7x)^x=7^{7^7}$

log both sides:

$log_7(7x)^x=log_7(7^{7^7})$
$xlog_7(7x)=7^7$
$x(1 +log_7x) = 7*7^6$
$x(1 +log_7x) = 7^6(1+6)$
$x(1 +log_7x) = 7^6(1+log_77^6)$

Compare both sides to get:

$x=7^6$

$x=117649$

You might be interested in

Emily and Holly took a road trip together. Emily drove at an average of 45 miles per hour for the first 3/7 of the total distanc

Elan Coil [88]

Emily drove 3/7 of the total distance and holly drove the rest which explains that holly drove 4/7 of the whole distance.

if 4 parts of the distance equals 24 miles, then 1 part would be 24/4 is 6.
since emily drove 3 parts of the whole distance, it is 6 × 3 = 18 miles.

travelling time of emily = 18/45 = 0.4 hr
travelling time of holly = 24/54 = 0.4 hr
--> total traveling time = 0.8 hr

i hope it is right

3 0

2 years ago

Solve the equation. 12x+3=51

Zinaida [17]

$12x + 3 = 51 \\ 12x = 48 \\ x = 4$