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MAXImum [283]
3 years ago
14

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

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0
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
lyudmila [28]3 years ago
4 0

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.

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