Question

Solve for x. Enter only a number.
please help, will medal for most help
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log 2 + log (2x) = 2

Answer 1

remember \[\log x + \log y = \log (x \times y) \]
\[\log x - \log y = \log \frac{ x }{ y }\]

Answer 2

so you have to change log 2 + log (2x)
do division or multiplication ??

Answer 3

to*

Answer 4

log 2 + log 2x = log 2(2x) = log (4x)

Answer 5

To solve log(4x) = 2, do 10^ on each side:
\[10^{\log (4x)} = 10^{2}\]
On the left side of the equation, the 10 and log cancel each other out. So this simplifies to 4x = 100.

Answer 6

so 25