Question

What is the solution to the equation below? Round your answer to two decimal places. log6 x = 2.1

Answer 1

You just have to change the log form to exponential form.

log(b) x = y is the same and saying b^y = x

so 6^2.1 = x

x = 43.06

Answer 2

Answer:

The solution of the equation is 43.06.  

Step-by-step explanation:

Consider the provided equation:

$log_6x = 2.1$

Consider the left side and apply the rule: $\quad \:a=\log _b\left(b^a\right)$

$2.1=\log _6\left(6^{2.1}\right)$

Substitute the value of 2.1 in provided equation.

$\log _6\left(x\right)=\log _6\left(6^{2.1}\right)$

$\mathrm{For\:}\log _6\left(x\right)=\log _6\left(6^{2.1}\right)\mathrm{,\:\quad solve\:}x=6^{2.1}$

$x=6^{2.1}$

$x=43.06}$

Hence, the solution of the equation is 43.06.