Question

Solve log(10)10 = x

can someone atleast give me an idea of how to solve.

Answer 1

Is it \[Log_{10}10=x\]

Answer 2

yes

Answer 3

its 1. also mathway.com can help.

Answer 4

\[10=10^{x}\]

Answer 5

change it to exponential
10^x=10^1
same bases =same power
x=1

Answer 6

10 to the what power is 10?

Answer 7

log(10)1 = x

Answer 8

10 to the what power is 1?

Answer 9

rewrite in equivalent exponential form
\[\log_b(x)=y\iff b^y=x\]
\[\log_{10}(10)=y\iff 10^y=10\]

Answer 10

taking log on both sides
\[\log 10=x \log 10\]
so x=1

Answer 11

hint: any number but 0 to that power results in 1.

Answer 12

\[\huge \color{blue}{Log_a(a) = 1}\]

Answer 13

because \(\huge\color{red}{a^1=a}\)

Answer 14

\(x \ne 0 \Rightarrow log_x1 = 0 \)