Question

solve for x:5^x-4=1​

Answer 1

If $5^x-4= 1$ then the value of x=1. If $5^{x-4}=1$ then the value of x=4

Step-by-step explanation:

Consider the provided information.

If $5^x-4=1$

The solve as shown:

$5^x=1+4$

$5^x=5$

Compare the exponent value.

$x=1$

If the provided equation is $5^{x-4}=1$

Taking log both side.

$\ln \left(5^{x-4}\right)=\ln \left(1\right)$

Apply the rule: $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\left(x-4\right)\ln \left(5\right)=\ln \left(1\right)$

$\frac{\left(x-4\right)\ln \left(5\right)}{\ln \left(5\right)}=\frac{\ln \left(1\right)}{\ln \left(5\right)}$

The value of ln(1)=0

$x-4=0$

$x=4$

Hence, If $5^x-4=1$ then the value of x=1. If $5^{x-4}=1$ then the value of x=4.

#Learn more

What is the properties and formula of logarithms.​

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Answer 2

Answer:

solve for x:5^x-4=1

Step-by-step explanation:

answer is right